Characteristic of those having an inflated idea of their own importance - egotistical, narcissistic, self-loving
Characteristic of false pride; having an exaggerated sense of self-importance - conceited, egotistical, self-conceited, swollen, swollen-headed, vain, swellheaded [N. Amer]
See also: egotism, egotist, egotistically, proud, self-interested, selfish