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Cognomen Rini (Rini , ريني , Рини ) , in the world, is a common last name. The family name Rini is characteristic of Indonesia, where it is quite a common surname, Brunei, where it is quite a rare surname, and Taiwan. In absolute terms, the name is most common in Indonesia, Bangladesh, and the United States. More frequently, Rini is the forename as well as the last name.