A wonderful breakaway goal from Alessandro Florenzi a minute before the break completed the rout and gave Rudi Garcia's side 21 points, lifting hopes in the capital of a first league title since 2001.
Inter, who failed to break Roma down despite Federico Balzaretti being sent off with 11 minutes left for a daft tackle on Ricky Alvarez after having already been booked, stayed fourth on 14 points.
There was controversy over Roma's second goal, a 40th-minute penalty from Totti that came after a period of intense Inter pressure during which Fredy Guarin crashed a long-range shot against the post.
After chasing down a long pass, the impressive Gervinho glided past Esteban Cambiasso before being chopped down by Alvaro Pereira.
Referee Paolo Tagliavento pointed to the spot but replays showed the Ivorian was just outside the area.
Earlier, a Maxi Moralez volley in the 16th minute gave Atalanta a 1-0 win at Chievo Verona.
(Editing by Tony Jimenez)
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