Hermaphrocorn
Much as the term "Brony" is used to describe male viewers of My Little Pony, and Pegasister is used for females of the same description, the term Hermaphrocorn is used to describe people not identifying with either sex. While the term is derived from the word "Hermaphrodite", the term also apples to any and all people who identify as anything other than Male or Female.
Tom: Jim, I didn't know you were a Brony!
Jim: Actually, I was born with both male and female genitals, so really I'm a Hermaphrocorn!
Jim: Actually, I was born with both male and female genitals, so really I'm a Hermaphrocorn!