CN-TST 2017 Problem 21

Find the numbers of ordered array $(x_1,...,x_{100})$ that satisfies the following conditions: ( $i$ ) $x_1,...,x_{100}\in\{1,2,..,2017\}$ ; ( $ii$ ) $2017|x_1+...+x_{100}$ ; ( $iii$ ) $2017|x_1^2+...+x_{100}^2$ .