peculiarity ‎(plural peculiarities)

  1. The quality or state of being peculiar; individuality; singularity.
  2. That which is peculiar; a special and distinctive characteristic or habit; particularity.
    • 1853, Charlotte Brontë, Villette, Chapter 4:
      I had often heard of Miss Marchmont, and of her peculiarities (she had the character of being very eccentric), but till now had never seen her.
  3. Exclusive possession or right.