During the rotation of the Earth, a centrifugal force is formed, according to the actions of which ocean water should be collected at the Equator, forming a "hump" hundreds of meters high. However, there is no water hump on the Equator. The depth of the ocean does not depend on latitude, although there should be such a dependence. at the same time, the centrifugal force is sufficient to deform the shape of the earth from a regular sphere to a geoid!
During the rotation of the Earth, a centrifugal force is formed, according to the actions of which ocean water should be collected at the Equator, forming a "hump" hundreds of meters high.
That is correct. The sea level at the equator is about $21\mathrm{\ km}$ further from the center of the earth than the sea level at the North Pole.
The depth of the ocean does not depend on latitude, although there should be such a dependence.
This doesn’t follow. The equatorial bulge of the land is also about $21\mathrm{\ km}$. So the depth of the ocean is approximately uniform.
The idea is that on geological scales rock is also somewhat like a fluid. You can only have a mountain a certain height before it “flows” down. So the same centrifugal force that makes water bulge also makes rock bulge.
