Simply, the condition of being religious. No pejorative connotation is present in sociological use of this term. Effectively it is similar to religious vitality, but is normally applied to individual beliefs rather than to religious organizations.

Religiosity in its broadest sense is a comprehensive sociological term used to refer to the numerous aspects of religious activity, dedication, and belief (religious doctrine). Another term that would work equally well, though is less often used, is religiousness. In its narrowest sense, religiosity deals more with how religious a person is, and less with how a person is religious (in terms of practicing certain rituals, retelling certain myths, revering certain symbols, or accepting certain doctrines about deities and afterlife).

a psychiatric symptom characterized by the demonstration of excessive or unnatural piety.

exaggerated or affected piety and religious zeal

The quality of being religious; religious feeling or sentiment; religiousness.