Bishop of Rome is another title for the pope, as is Holy Father.
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Pontiff is another word for Pope
There have been 13 popes called Leo, and there appears to be no dispute about the numbering, as is the case with a few of the popes. See links.
There have been 8 popes called Urban.
Avignon, France, is sometimes referred to as the "City of Popes" because of the presence of popes and anti-popes from 1309 to 1423 during the Catholic schism.
There have been 13 popes named Innocent.
Yes, they had many differences on matters of authority and doctrine. Some Popes were even excommunicated by Church Synods (or Councils) and other rival Popes were elected in their place, called Ante-Popes.
Popes & Patriarchs.
There have been 6 popes who chose the name of Paul.
There have been 15 popes named Benedict. Pope Benedict X does not count as he was an antipope.
Generally referred to as a Papal Bull
It wasn't Monty Python - it was an SCTV sketch called "The Man Who Would Be King of the Popes".
Popes do not elect popes. Popes are elected by the cardinal electors.
The popes have always been the Bishops of Rome, and so they have mostly lived in Rome, throughout the history of the Church. There have been times when the popes did not stay in Rome much, or did not stay there at all. There was a time from 1257 to 1309 whose popes are called the "wandering popes" because the political situation in Rome was such that they were unsafe there. There was also a time from 1309 to 1377 when the popes lived in Avignon. Aside from these times, there were papal palaces in different places where the popes would stay when they had some reason to be there. There is a link below to the an article on the history of the papacy.