What curious property does this string have?

There are all kinds of interesting things in the Unicode standard. For example, the block of characters from U+A000 to U+A48F is for representing syllables in the "Yi script". Apparently it is a Chinese language writing system developed during the Tang Dynasty.

A string drawn from this block has an unusual property; the string consists of just two characters, both the same: a repetition of character U+A0A2:

string s = "ꂢꂢ";

Or, if your browser can't hack the Yi script, that's the equivalent of the C# program fragment:

string s = "\uA0A2\uA0A2";

What curious property does this string have?

I'll leave some hints in the comments, and post the answer next time..

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