Synonyms/Hypernyms (Ordered by Estimated Frequency) of noun specialness

2 senses of specialness

Sense 1
peculiarity, specialness, specialty, speciality, distinctiveness -- (a distinguishing trait)
       => individuality, individualism, individuation -- (the quality of being individual; "so absorbed by the movement that she lost all sense of individuality")

Sense 2
particularity, specialness -- (the quality of being particular and pertaining to a specific case or instance; "the particularity of human situations")
       => quality -- (an essential and distinguishing attribute of something or someone; "the quality of mercy is not strained"--Shakespeare)