The majority of the decimal expansion of this PRP has the pattern:
24680864202468086420...

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing 2468086420*(10^(10*1001)-1)/(10^10-1)+10127
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
2468086420*(10^(10*1001)-1)/(10^10-1)+10127 is Fermat and Lucas PRP!

To be completed...