18 Factorial

$4!$ is four factorial which is $4!=4\times 3\times 2\times 1=24$. If the sum of the expression $1!+2!+3!+\cdots +99!+100!+ 101!$ is divided by $18$, what would be the remainder?
Source: mathcontest.olemiss.edu 10/7/2013

SOLUTION
This problem is similar to the problem titled “Factorial Remainder” dated 1/10/2011.

Answer: $9$