Doubly Stochastic

We say that a transition matrix $P$ is $\textit{doubly stochastic}$ if 1) every entry is non-negative and 2) every row and column sums to $1$. Suppose that you have a Markov Chain with a doubly stochastic transition matrix $P$ on $S = \{1,2,\dots, 100\}$. Let $\pi$ be the stationary distribution of this Markov Chain. Find $||\pi||$.