Fumiko (文子) combines the Japanese fumi (writing, literature) and ko (child) — meaning "literary child" or "child of letters."
Fumiko Hayashi (1903-1951) was the major Japanese novelist; Fumiko Kaneko (1903-1926) was the Japanese anarchist.
Fumiko 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 Fumiko reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.