Similar polynomials

For some real numbers $a$, $b$ and $c$ it turned out that the polynomial $f (x) = x ^ 3 + ax ^ 2 + x + 10$ has three different roots, which are also the roots of the polynomial $g ( x) = x ^ 4 + x ^ 3 + bx ^ 2 + 100x + c$. What is $f (2020)$ equal to?