Despite losing their opener in Scotland, Eddie Jones' England are now second in the table behind unbeaten France after two rounds.
England almost claimed a bonus point before half-time as Marcus Smith crossed and Jamie George scored twice.
Elliot Daly got the fourth try after the break and Kyle Sinckler added another after a dip in intensity.
England head coach Jones had asked his players to "light up" Rome and they duly delivered as the visitors' pace overwhelmed their hosts.
With pre-match headlines focussing on 'new England', Henry Slade showed the older heads should not be overlooked as the centre released another experienced player, Jack Nowell, down the left wing.
A series of flat passes from Smith - growing into his role of England's starting 10 with every game - saw England pick their way through the Italy defence.
That move ended in a try for Smith after a slick exchange with Max Malins but at times England's attempts to put on a show led to handling errors that would be punished by any other side in such a tight championship.
Perennial wooden spoon side Italy, however, helped England's cause as they committed mistakes of their own and conceded eight penalties to the visitors' three in the first half.