unisexuality

noun2

1. •
   The property of being unisexual (having characteristics of a single sex); (especially in botany) the property of being imperfect, i.e. having only male (stamina) or female (pistils) reproductive organs in one flower (monoecism) or individual (dioecism).

   • In all cases of hermaphroditism in animals where unisexuality of the individuals is the rule, the doubly sexed organs are always imperfect, […] — 1883
2. •
   The state of being unisex (suitable for any sex).

   • One observes the increasing percentage of unisexuality in Igbo onomastics, and it would not be surprising if such unisexuality invades the area of politically suggestive names. — 1993