102222122121137 has 2 divisors, whose sum is σ = 102222122121138. Its totient is φ = 102222122121136.

The previous prime is 102222122121047. The next prime is 102222122121139. The reversal of 102222122121137 is 731121221222201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89364956516416 + 12857165604721 = 9453304^2 + 3585689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102222122121137 is a prime.

Together with 102222122121139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102222122121139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111061060568 + 51111061060569.

It is an arithmetic number, because the mean of its divisors is an integer number (51111061060569).

Almost surely, 2^{102222122121137} is an apocalyptic number.

It is an amenable number.

102222122121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222122121137 is an equidigital number, since it uses as much as digits as its factorization.

102222122121137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 102222122121137 its reverse (731121221222201), we get a palindrome (833343343343338).

The spelling of 102222122121137 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-seven".