The majority of the decimal expansion of this PRP has the pattern:
11111999991111199999...

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 1111199999*(10^(10*1001)-1)/(10^10-1)+1710
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
1111199999*(10^(10*1001)-1)/(10^10-1)+1710 is Fermat and Lucas PRP!

To be completed...