Vatican City (Status Civitatis Vaticanae) is a fully sovereign independent city-state—not merely a city within Italy. It is the smallest country in the world by both area (0.44 km² / 0.17 sq mi) and population (~800 residents).
Absolute elective monarchy – The Pope (currently Francis) holds supreme legislative, executive, and judicial authority. Governed through the Roman Curia and Pontifical Commission for Vatican City State.
Encircled by Rome, but extraterritorial properties extend beyond: Castel Gandolfo (papal summer palace, 55 ha), Basilicas (St. John Lateran, St. Mary Major, St. Paul Outside the Walls), Gregorian University, Vatican Observatory (Castel Gandolfo + Arizona). These enjoy extraterritoriality under Lateran Treaty.
Vatican City is the spatial expression of the Holy See's sovereignty—the universal government of the Catholic Church. Distinct from, but inseparable from, the Holy See's international legal personality.