There is no telling where he has gone.
In the above sentence, Is 'telling' noun or participle?
"Telling" here is a verb in the form of gerund-participle. This is a special case where a verb phrase takes a pre-head dependent that is characteristic of the noun phrase structure.
Huddleston & Pullum (2002: 1189) refer to this as a Hybrid Construction. A hybrid construction with "no" is virtually restricted to the there-existential construction.
Another common instance is "there'll be no stopping her". Note that it takes a direct object, a kind of dependent that's only admissible in a verb phrase structure.