Which service will you likely use?
An UberX car can pick you up in ~2 min.
Distance between Birmingham and London Heathrow Terminal 2 is approx. 116.75 miles (187.89 km) with 138 min travel time.
This Uber estimate from Birmingham to London Heathrow Terminal 2
27 days ago.
Update the estimate to see the real-time fare prices with Uber in Birmingham.