The Collaborative International Dictionary of English v.0.48:

Geniality \Ge`ni*al"i*ty\, n. [L. genialitas.]
   The quality of being genial; sympathetic cheerfulness; warmth
   of disposition and manners.
   [1913 Webster]

WordNet (r) 3.0 (2006):

geniality
    n 1: a disposition to be friendly and approachable (easy to talk
         to) [syn: affability, affableness, amiability,
         amiableness, bonhomie, geniality]