I don't understand the negative answers to this question. I think it can be done just fine, and I don't really even see a problem with it. As you said you can just make the gravitational constant smaller, and you will then be able to have a planet that's much bigger than the Earth but with the same surface gravity as Earth.
As one answer points out, if you really wanted to be hard-science about this you would run into problems with cosmology, in terms of how stars and planets form, how quickly stars burn, etc. But that could easily be handwaved by just saying nuclear physics works differently in your world. (Or by just not mentioning it if it isn't important to the setting.)
So let's just say planets and stars can form ok in your universe, and we have our planet that's 100 times the radius of Earth (with 10000 times the surface area), and its surface is made of the same kinds of stuff the Earth is. Here are some consequences of that:
- Your planet will be much more flying-saucer-like in shape than Earth. This is because, presumably, you want the planet to rotate about once per 24 hours. This means that there's a centrifugal force of about $\left(\frac{2\pi}{\text{24 hours}}\right)^2 \times 100\times \text{Earth's radius}$, or about 0.34g, pulling outward from the equator. So the equator will bulge out quite a lot, resulting in an oblate spheroid instead of a sphere. (The Earth is also approximately an oblate spheroid, but Earth is much closer to spherical than your planet will be.) Because of the mass of the bulge, the people on the surface of your planet will not feel as if they are lighter at the equators than at the poles - the gravity will just be 1g everywhere. This effect increases as you make your planet bigger, and there's a limit to how big you can make it before the planet stops being stable at all. But 100 times Earth's radius seems to be just about ok.
CC BY-SA image of oblate spheroid by Tomruen from Wikipedia
Aside from being a lot more squished and saucer-like than Earth, your planet will be much smoother and closer to its ideal oblate spheroid shape. This is because the heights of mountains and continental bulges and so on are limited by material properties, and making the planet bigger won't change those. But this is probably exactly what you want - mountains about the size of Earth's mountains, but just a lot more of them.
If there is a moon it will be much rounder as well, so it will appear much more like a smooth sphere, with details only visible through a telescope.
The year will be really long, and so will the month if there is a moon. This is for two reasons. Firstly, because the gravitational constant $G$ is smaller, an orbit of the same size will take longer to complete. Secondly, the sun and the moon will presumably also be around 100 times bigger than Earth's sun and moon, which means they will have to be about 100 times further away in order to look about the same size in the sky. This also means their orbits will take longer to complete. A year on your planet will be at least 10000 Earth years in duration and probably much longer. This means that one pole of your planet will probably have been in permanent darkness throughout all of recorded history, and the other in permanent daylight. Most likely the pole that's in darkness will be covered in ice but the other one won't - it might actually be quite warm there, just because it's had a long time to warm up. The equator will still be warmer though, because the sun rises higher into the sky. (Note though that since stellar physics probably has to work differently in your world, you could just say the sun and/or moon are much smaller than I've assumed, and therefore closer, which would make the year shorter. If you really want a year to be about one Earth year, you could have the sun orbit the planet.)
Plate tectonics might be weird. I'm not sure how it would work on a planet that size. But maybe you can just say the mantle is about the same thickness as Earth's mantle, with the planet having a giant core underneath that. Then you might be able to have continents about the same size as Earth's continents, just a lot more of them. Alternatively you could try to have a much larger mantle and correspondingly larger continents, but I'm not sure how well that would work, due to the aforementioned limits on material properties.
Climate and weather will probably be weird, and not just because of the long year or the weird shape of your planet. If you want the surface to be Earth-like, that will mean your planet has an atmosphere about the same height as Earth's atmosphere, which will be much thinner compared to the size of the planet than Earth's is. This means that the global wind circulation patterns will be very different. Earth's atmosphere looks like this, being composed of six circulating 'cells' of air:
CC BY-SA image by Kaidor, from Wikipedia
The reason there are six cells has to do with the thickness of the atmosphere compared to the planet (among other things), so on your planet it will look different. I imagine you would either have a lot more cells, or it won't be broken up into cells in the same way and could be a lot more chaotic. This might work in your favour though, because it might mean you can have giant deserts (even bigger than Earth's), or whole continents where it's really windy, and other such interesting things for your world's travellers to find.
On a related note, if your characters live in a temperate region they will have to travel a really long way to find anywhere with a tropical or polar climate, and so on.
Evolution might be weird. A larger planet gives more opportunities for species to get isolated and take their own evolutionary path. So (for example) instead of just mammals and marsupials there might be many different types of mammal-like animals. Or there might be somewhere where dinosaur-like animals still survive. There might even be other intelligent species if you travel far enough, as there would be more opportunity for two intelligent species to evolve without meeting each other.
Reaching orbit or escape velocity will be for all intents and purposes impossible. The speeds needed to orbit or escape your planet will be vastly higher than the speed needed to orbit the Earth, and it's most likely that it would never be technologically possible to reach those speeds starting from a sub-orbital flight. If your civilisation reaches space age technology the best they can hope for is to send rockets on huge parabolic trajectories, only to fall back down again. (So there will never be any satellites, but ICBMs will still work, and you might also see suborbital flights used for point-to-point travel.)
Meteorite impacts might be much more extreme. This one was wrong sorry. Orbital speeds are generally slower in your world, but your planet also has a very large gravity well, which will speed meteorites up before they impact. I'm just going to guess it all cancels out and meteorite impacts are about the same as they are on Earth.