112102102122137 has 2 divisors, whose sum is σ = 112102102122138. Its totient is φ = 112102102122136.

The previous prime is 112102102122097. The next prime is 112102102122167. The reversal of 112102102122137 is 731221201201211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110671157441296 + 1430944680841 = 10520036^2 + 1196221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112102102122137 is a prime.

It is not a weakly prime, because it can be changed into another prime (112102102122167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56051051061068 + 56051051061069.

It is an arithmetic number, because the mean of its divisors is an integer number (56051051061069).

Almost surely, 2^{112102102122137} is an apocalyptic number.

It is an amenable number.

112102102122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

112102102122137 is an equidigital number, since it uses as much as digits as its factorization.

112102102122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 112102102122137 its reverse (731221201201211), we get a palindrome (843323303323348).

The spelling of 112102102122137 in words is "one hundred twelve trillion, one hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred thirty-seven".