The reciprocal complementary Wiener number of a connected graph $G$ is defined as $\sum_{\{x,y\}\subseteq V(G)}\frac{1}{D+1-d_{G}(x,y)}$, where $D$ is the diameter of $G$ and $d_G(x,y)$ is the distance between vertices $x$ and $y$. In this work, we study the reciprocal complementary Wiener number of various graph operations such as join, Cartesian product, composition, strong product, disjunction, symmetric difference, corona product, splice and link of graphs.