20052005: no US SSA record for this spelling
2006: 5 births, rank #17,168
2007: 5 births, rank #17,636
2008: 9 births, rank #11,599
2009: no US SSA record for this spelling
20102010: 10 births, rank #10,451
2011: 5 births, rank #16,764
2012: 5 births, rank #16,869
2013: no US SSA record for this spelling
2014: no US SSA record for this spelling
20152015: 6 births, rank #14,482
2016: no US SSA record for this spelling
2017: no US SSA record for this spelling
2018: 8 births, rank #11,427
2019: no US SSA record for this spelling
20202020: no US SSA record for this spelling
2021: 9 births, rank #10,292
2022: 15 births, rank #7,281
2023: 9 births, rank #10,312
20242024: 8 births, rank #11,122
In 2024, 8 babies were recorded with the name Rini, ranking #11,122 among girls.