Found with PFGW Version 3.8.0

10600^11127-11127^10600 is 2-PRP! (37.8925s+0.0071s)
10600^11127-11127^10600 is 3-PRP! (39.7888s+0.0064s)
10600^11127-11127^10600 is 5-PRP! (38.0252s+0.0071s)
10600^11127-11127^10600 is 7-PRP! (39.1896s+0.0065s)
10600^11127-11127^10600 is 11-PRP! (37.7601s+0.0086s)

Primality testing 10600^11127-11127^10600 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)
10600^11127-11127^10600 is Fermat and Lucas PRP! (237.2377s+0.0061s)

To be completed...