\documentclass[tikz]{standalone}

\usepackage{ifthen}
\usepackage{intcalc}

\begin{document}
\begin{tikzpicture}
  \pgfkeys{/pgf/number format/.cd,fixed,precision=0}
  \draw[gray,step=2cm] (0,0) grid (20cm, 20cm) rectangle (0, 0);

  \foreach \y in {1,...,10}
    \foreach \x in {1,...,10}
        \pgfmathsetmacro{\p}{ifthenelse(\intcalcMod{\y}{2}==1, \x + (\y - 1) * 10, 10 * \y - \x + 1)}
        \node at (\x * 2cm - 1cm, \y * 2cm - 1cm) { \pgfmathprintnumber{\p} };
\end{tikzpicture}
\end{document}