Satan doesn’t believe he is greater*,
he WANTS to be, but knows he isn’t, and that makes him all the madder.
(At various points in the Bible, it is clear that he has to get permission from God in order to torment a person.)
I believe that haSatan has permission to torment anyone who rejects YHvH.
shalom b'SHEM Yah'shua HaMashiach