As opposed to having the power to do things that are
impossible to do you mean? You seem to have created a rather meaningless tautology. Omnipotent in the context of deity is widely accepted as having limitless power.
omnipotent
adjective
- (of a deity) having unlimited power.
No it is not a meaningless tautology. (I wonder if "meaningless tautology" is a tautology)
anyway...... what I said is not meaningless, it is a definition with an inbuilt disambiguation.
This disambiguation is important since some people think that someone who is omnipotent should be able to do things that are impossible to do.
Your definition "(of a deity) having unlimited power." does not necessarily include being able to do the impossible. That part of "almighty" and "all power and authority in heaven and on earth" would leave that qualifier out because the assumption would be that people should be able to figure that out.
However that does not mean that there are things that we humans see as impossible which are perfectly possible for God to do.
With that in mind it is not really up to us humans to answer for God about what He can and cannot do.
I suppose this would go for the rock question in the OP also. It appears logically impossible to us but do we really know that it is impossible? And if it is, then it is just one of those things that don't fit the omnipotent description of God.
Actually the Bible does give other things that God cannot do, besides and unanswerable koans such as the OP.