It's not hidden in any way, though. This:
<?php
$me = 'me@mail.com';
echo "<p><a href='mailto:".$me."'>Email me</a></p>";
?>
is absolutely no different than this:
<p><a href='mailto:me@mail.com'>Email me</a></p>
In either case, the email is simply being outputted in the HTML code. (Also note your error - me@mail.com is a string of data, thus it should be delimited as all strings are, with double quotes... just like the strings in the echo statement).