The statement "It is classified based on its shape" is true about the universe.
Galaxies in the universe can be classified into different shapes, such as spiral, elliptical, and irregular, based on their morphology. The other statements are not accurate: the number of galaxies is estimated to be in the hundreds of billions, but not exactly a hundred billion; the universe is not confined to the Milky Way galaxy or the solar system, as both are part of the larger universe.