Determining function from two-sided bounds

Let $f:\mathbb{R}\to\mathbb{R}$ be a function such that $$20(x-y) \le f(x)-f(y) \le 20(x-y) + 2(x-y)^2$$ for all $x, y\in\mathbb{R}$ and $f(0)=2$. Then $f(101)$ equals __________