Rodica is from the Romanian Rodica — rod fruit + -ica diminutive — little fruit, fruitful one. Rodica is one of the Romanian feminine names — central to traditional Romanian Orthodox Christian heritage.
Rodica 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 Rodica reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.