notoriety
noun
[ nəʊtəˈrʌɪɪti ]
• the state of being famous or well known for some bad quality or deed.
• "the song has gained some notoriety in the press"
Similar:
infamy,
bad reputation/name,
disrepute,
ill repute,
ill fame,
dishonour,
discredit,
obloquy,
opprobrium,
fame,
renown,