Shaun Aaron Chudasama (25), from Leicester, pleaded guilty to driving without due care and attention on the M1 southbound, between junctions 21 and 20 at Enderby, on October 13.
While he was in the outside lane of the motorway, he drove too close to the vehicle in front and, having undertaken it, he moved back into the outside lane and drove too close to the rear of another vehicle.
When that vehicle moved into the middle lane he continued in the outside lane accelerating up to 102mph. He was fined £513 with a £51 victim surcharge and £85 costs and nine penalty points were put on his driving licence.