102122012110117 has 2 divisors, whose sum is σ = 102122012110118. Its totient is φ = 102122012110116.

The previous prime is 102122012110073. The next prime is 102122012110171. The reversal of 102122012110117 is 711011210221201.

Together with next prime (102122012110171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85017509604036 + 17104502506081 = 9220494^2 + 4135759^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102122012110117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122012110187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061006055058 + 51061006055059.

It is an arithmetic number, because the mean of its divisors is an integer number (51061006055059).

Almost surely, 2^{102122012110117} is an apocalyptic number.

It is an amenable number.

102122012110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122012110117 is an equidigital number, since it uses as much as digits as its factorization.

102122012110117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 102122012110117 its reverse (711011210221201), we get a palindrome (813133222331318).

The spelling of 102122012110117 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, one hundred ten thousand, one hundred seventeen".