That friend of yours who's always welcoming and friendly, and who seems to get along with everyone, is well-liked because of her congeniality. Congeniality means "the quality of being friendly, agreeable, and compatible."
The noun congeniality is closely related to the word geniality, which means "friendliness." Congeniality can be defined the same way, but the Latin prefix con, or "with," adds a sense of connection to other people. People who have the quality of congeniality have a gift for getting along with others.