no ‧ to ‧ ri ‧ e ‧ ty /ˌnəʊtəˈraɪəti $ ˌnoʊ-/ BrE AmE noun [uncountable]
the state of being famous or well known for something that is bad or that people do not approve of
of notoriety
John is already a writer of some notoriety.
gain/win/achieve notoriety (for something)
The local church has gained notoriety for being different.