The crust alone contains millions of different layers of sedimentary rock. For the layers of the Earth, some of which are rock and some of which are not, see the related link below.
the mantle and the crust
Earth's layers of rock are classified by their composition, and by their physical properties!
The lithosphere is where the brittle rock resides. Most of the rock of the mantle is ductile, yet solid.
crust or lithosphere