The gravity on the ISS is pretty much the same as on Earth. 10000 km is about 16000 km away from the center of the earth, to compare with 6000 km at the surface, meaning that it's about (6/16)^2 of normal gravity, meaning about 15%.

However, the ISS is in free fall. It's constantly falling as it orbits the Earth, which cancels out the gravitational pull, and thus you are essentially weightless on the ISS. I did not watch Gundam, so I don't know the situation there, but: If the station is in orbit at 10000km, one would be weightless on board. If it is stuck to something like a space elevator, gravity would be 14%, but there would also be a counteracting centrifugal force, which would lessen that number, but it would not be 0.