Be aware that from July 1, 2009, it is illegal to use a mobile phone while riding a bicycle. Using a cell phone while driving is already illegal, but now it is also illegal while riding a bicycle.
According to the police, there were eighteen bicycling accidents in Shiga caused by the rider using a mobile phone while cycling. Four of the accidents resulted in serious injuries. The police has concluded that when you use a mobile phone (keitai or K-tai) with one hand while riding a bicycle, you cannot focus your attention on the road and you are more prone to lose your balance and crash.
You cannot talk on the phone, write/read email, nor watch videos on your mobile phone while riding a bicycle. So, just do not hold your mobile phone in one hand while riding a bicycle. If you get caught, you may be fined no more than 50,000 yen.
If you need to use your phone, just stop riding your bicycle. Problem solved.