Bibi is from the Persian-Arabic honorific bibi (lady, mistress, respected woman) — used as a feminine given name across Iran, Turkey, India, and the Muslim diaspora. Bibi Aisha (born 1992) — Afghan young woman whose face was mutilated by her Taliban husband; her Time magazine cover (August 2010) became one of the most-discussed magazine covers of the early 2010s. Bibi Russell (born 1950) — Bangladeshi fashion designer.
Bibi does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Bibi reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.