Phi(105622,10)/280008516159268031617409411710601
11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601
https://factordb.com/index.php?id=1100000000952967837
http://stdkmd.com/nrr/repunit/prpfactors.htm
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makoto@betelgeuse /cygdrive/c/factorize/Phin10
$ ./pfgw64 -tc -q"11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601"
PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6]

Primality testing 11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601 is Fermat and Lucas PRP! (235.2401s+0.0039s)
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To be completed...