112011212111137 has 2 divisors, whose sum is σ = 112011212111138. Its totient is φ = 112011212111136.

The previous prime is 112011212111039. The next prime is 112011212111147. The reversal of 112011212111137 is 731111212110211.

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., 79329821479441 + 32681390631696 = 8906729^2 + 5716764^2 .

It is a cyclic number.

It is not a de Polignac number, because 112011212111137 - 2¹⁹ = 112011211586849 is a prime.

It is a super-2 number, since 2×112011212111137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112011212111147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005606055568 + 56005606055569.

It is an arithmetic number, because the mean of its divisors is an integer number (56005606055569).

Almost surely, 2^{112011212111137} is an apocalyptic number.

It is an amenable number.

112011212111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

112011212111137 is an equidigital number, since it uses as much as digits as its factorization.

112011212111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 25.

Adding to 112011212111137 its reverse (731111212110211), we get a palindrome (843122424221348).

The spelling of 112011212111137 in words is "one hundred twelve trillion, eleven billion, two hundred twelve million, one hundred eleven thousand, one hundred thirty-seven".