battery indicator stuck at 1%

iphone 4s battery indicator stuck at 1%. When I connect the charger indicator does not change stays at 1% however when I unplugg the phone from the charger it keeps working for hours. The charger is fine so is the charger because when I connect the two it makes the clicking noise letting me know that there is a connection.

If I restart the phone I am unable to power it back on untill after it has been plugged in to the charger for the whole night.

How annoying....

What is wrong with this POS phone?