Nyai is from the Indonesian/Javanese Nyai — honorific title for a married woman or concubine (originally Dutch East Indies colonial-era native concubines to European men). Nyai Ontosoroh is the Javanese concubine + matriarch whose intelligence + resilience embodies Indonesian anti-colonial resistance. Hanung Bramantyo) starring Iqbaal Ramadhan. Indonesian feminine honorific name.
Nyai 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.
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In Pythagorean numerology the letters of Nyai reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.