A galvanometer of resistance $10 \Omega$ changes its range from $1 \mathrm{~mA}$ to $101 \mathrm{~mA}$ when a resistive wire is connected in parallel. If the resistivity of the material of the wire and its area of cross-section are $1 \times 10^{-6} \Omega \mathrm{m}$ and $1 \mathrm{~mm}^2$ respectively, then the length of the wire is