Chandrika (चन्द्रिका) is the Sanskrit word for "moonlight" — from chandra (moon). Also an epithet of the goddess Durga.
Chandrika Kumaratunga (born 1945) is the former President of Sri Lanka — the country's first female head of state.
Chandrika 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 Chandrika reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.