reputedly
adverb
[ rɪˈpjuːtɪdli ]
• according to what people say or believe; supposedly.
• "he reputedly gained a £1.2-million settlement at the end of their marriage"
Similar:
supposedly,
by all accounts,
according to popular belief,
so the story goes,
so I'm told,
so people say,
by repute,
allegedly,
putatively,
apparently,
seemingly,
ostensibly,
reputatively,
putatitiously,