Yes, quite rare in MS but not worth what coinfacts lists as an "estimate". It's just not that popular a die and pretty much has to be a registry coin to bust into the big numbers.
Also note that there remains some confusion on the websites about what's what. There is a reasonably similar die with the mint mark slightly different. So using VarietyVista (CONECA) the die with the big obverse die crack up from the ear into the hair is FS-101. According to Wexler that would be WDDO-025 and that crack is not shown as a marker for FS-101. Coppercoins also does not list that obvious die crack as a marker for FS-101.
Anyway, yours is FS-101 by the CONECA catalog and a wonderful rare find. Congrats!