102211002022117 has 2 divisors, whose sum is σ = 102211002022118. Its totient is φ = 102211002022116.

The previous prime is 102211002022091. The next prime is 102211002022127. The reversal of 102211002022117 is 711220200112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102120038858916 + 90963163201 = 10105446^2 + 301601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211002022117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211002022127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105501011058 + 51105501011059.

It is an arithmetic number, because the mean of its divisors is an integer number (51105501011059).

Almost surely, 2^{102211002022117} is an apocalyptic number.

It is an amenable number.

102211002022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211002022117 is an equidigital number, since it uses as much as digits as its factorization.

102211002022117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 102211002022117 its reverse (711220200112201), we get a palindrome (813431202134318).

The spelling of 102211002022117 in words is "one hundred two trillion, two hundred eleven billion, two million, twenty-two thousand, one hundred seventeen".