Though it is extremely uncommon, for some people it causes gender dysphoria to have genitalia of any kind. People who undergo surgeries such as this sometimes identify as nonbinary, eunuchs, or nullos.
For surgeries regarding obtaining unconventional genitalia, see salmacian.
Nullification refers to when genitalia is removed but not replaced, such as a vaginectomy without phalloplasty or a penectomy and orchiectomy without vaginoplasty. Sometimes it can also refer to those who undergo top surgery, and choose not to have nipples.
These procedures are sometimes known as "smoothie" procedures.