Katenka is a diminutive form of the name Yekaterina, which is the Russian variant of Catherine. The name Catherine itself is derived from the Greek name Aikaterine, whose etymology is debated but is often associated with the Greek word 'katharos,' meaning 'pure.' Katenka, as a diminutive, carries a sense of endearment and familiarity, often used in informal or affectionate contexts.