111102012110137 has 2 divisors, whose sum is σ = 111102012110138. Its totient is φ = 111102012110136.

The previous prime is 111102012110041. The next prime is 111102012110231. The reversal of 111102012110137 is 731011210201111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95416578595881 + 15685433514256 = 9768141^2 + 3960484^2 .

It is a cyclic number.

It is not a de Polignac number, because 111102012110137 - 2³⁵ = 111067652371769 is a prime.

It is not a weakly prime, because it can be changed into another prime (111102012110737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55551006055068 + 55551006055069.

It is an arithmetic number, because the mean of its divisors is an integer number (55551006055069).

Almost surely, 2^{111102012110137} is an apocalyptic number.

It is an amenable number.

111102012110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111102012110137 is an equidigital number, since it uses as much as digits as its factorization.

111102012110137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 111102012110137 its reverse (731011210201111), we get a palindrome (842113222311248).

The spelling of 111102012110137 in words is "one hundred eleven trillion, one hundred two billion, twelve million, one hundred ten thousand, one hundred thirty-seven".