One interesting feature of time in a black hole is that it flows backwards relative to the exterior of the black hole. This is because time always flows in the direction that entropy increases and since the direction that entropy increases is opposite inside a black hole from outside a black hole time will always flow in the opposite direction in a black hole. So wile relative to us an object in a black hole will fall faster than light, the object in the black hole relative to itself is actually rapidly moving away from the singularity.

Another interesting feature of the inside of a black hole is that it has two dimensions of time and two dimensions of space. This is because things inside a black hole can only move in one direction when it comes to the up down dimension making the up down dimension a second time dimension leaving only two spacial dimensions. And the up down dimension will also flow in the direction that entropy increases in a black hole.