Using PFGW 3.8.0 this number is found to be Fermat and Lucas PRP in bases 2 and 2+sqrt(7).
p=-2*3*5*23*Bern(20108)/(11*457*8218223201*931255188751)
Bern(20108) is a Bernoulli number with denominator 690.
The decimal expansion of p can be obtained using Pari/GP:
-690*bernfrac(20108)/38472953092178129824877677
To be completed...
To be completed...