Mean and median of a GBM

A stock follows $dS = \mu S\,dt + \sigma S\,dW$ with $S_0 = 100$, $\mu = 0.10$ and $\sigma = 0.20$. For $T = 30$ years, find $E[S_T]$, the median of $S_T$, and $P(S_T > E[S_T])$. What happens to that probability as $T \to \infty$?