Found with PFGW Version 3.7.5

101^13378+100 is 2-PRP! (9.4500s+0.0023s)
101^13378+100 is 3-PRP! (9.3500s+0.0019s)
101^13378+100 is 5-PRP! (9.5433s+0.0024s)
101^13378+100 is 7-PRP! (9.4230s+0.0027s)
101^13378+100 is 11-PRP! (10.7707s+0.0021s)

Primality testing 101^13378+100 [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 0.27% and helper 0.02% (0.84% proof)
101^13378+100 is Fermat and Lucas PRP! (66.9098s+0.0038s)

To be completed...