Profundity describes being thoughtful, deep, and wise. Your profundity might inspire friends to come to you for advice.
Profundity comes from the word profound and it means a quality of depth or wisdom that is meaningful or even transformational. The profundity of a piece of music might move you to tears, and the profundity of certain philosophies can be deep — and a bit confusing. Profundity can describe something that's intense, like the profundity of the silence in the room following the announcement of bad news.