How to get dots in between equation and equation numbers with equation is centrally aligned?

Question

Add dots between equation and equation numbers without changing the equation's default center position?

Answer 1

Do you mean like this?

That seems a little strange but can be achieved with:

\documentclass{article}

\begin{document}

\noindent X\dotfill X
\begin{equation}
\hskip \textwidth minus \textwidth 
e=mc^2
\leaders\hbox{ . }\hskip \textwidth minus \textwidth
\end{equation}

\end{document}