What's the adjective for introvertedness? Here's the word you're looking for.
introverted
Possessing the characteristic property of an introvert. Preferring the internal, satisfied with self, lacking interest or comfort in social interactions.
“Stace assimilates theistic mystical experiences to his universal introvertive experience by distinguishing between experience and interpretation.”
“Theistic mystics are pressured by their surroundings, says Stace, to put a theistic interpretation on their introvertive experiences.”
“Most persons have both introvertive and extravertive traits, and most represent interactions between these traits, which fact, usually receives attention only when ambiversion is judged to exist.”