[Tex/LaTex] SIrange typeset different in text and math mode

Question

I observe a difference in the dashes typesetting when using SIrange in text or math modes. Any idea of why this happens?
Here's the MWE:

\documentclass{article}
\usepackage{siunitx}
\sisetup{
    range-phrase= -}

\begin{document}
    \SIrange{e-12}{e-10}{\second}
    $\SIrange{e-12}{e-10}{\second}$
\end{document}

This is how it looks:

Answer 1

As written in my comment, you can tell LaTeX to behave differently if you are inside or outside the math mode using the TeX command \if<>\else<>\fi; specifically using the conditional form:

\ifmmode<expression inside math>
\else
 <expression outside math>
\fi

So if this code is applied to your MWE:

\documentclass{article}
%
\usepackage{siunitx}
\sisetup{range-phrase=%
 \ifmmode\mathbin{-}
 \else
  \thinspace\textendash\thinspace
 \fi%
}
%
\begin{document}
%
\centering
\SIrange{e-12}{e-10}{\second}
\[
\SIrange{e-12}{e-10}{\second}
\]
%
\end{document}

The result is:

---

Update

There is another way of having the correct dash, as egreg suggested, by considering the inclusion of text inside the math mode, replacing \mathbin{-} with:

\sisetup{range-phrase=%
 \ifmmode\text{\,\textendash\,}
 \else
  \thinspace\textendash\thinspace
 \fi%
}
%

Obtaining: