Daenerys is a name invented by George R. R. Martin for his fantasy series A Song of Ice and Fire, possibly drawing on Greek roots and the Welsh Daenerys variant — though Martin has not confirmed a specific etymology. Portrayed by Emilia Clarke. Approximately 3,500 American girls were named Daenerys (or the alternative "Khaleesi") between 2011 and 2018 — a name explosion unmatched by any fantasy series character.
Daenerys 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 Daenerys reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.