111011120100137 has 2 divisors, whose sum is σ = 111011120100138. Its totient is φ = 111011120100136.

The previous prime is 111011120100119. The next prime is 111011120100161. The reversal of 111011120100137 is 731001021110111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66028934420761 + 44982185679376 = 8125819^2 + 6706876^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011120100137 - 2⁸ = 111011120099881 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011120300137) 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, 55505560050068 + 55505560050069.

It is an arithmetic number, because the mean of its divisors is an integer number (55505560050069).

Almost surely, 2^{111011120100137} is an apocalyptic number.

It is an amenable number.

111011120100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011120100137 is an equidigital number, since it uses as much as digits as its factorization.

111011120100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 111011120100137 its reverse (731001021110111), we get a palindrome (842012141210248).

The spelling of 111011120100137 in words is "one hundred eleven trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred thirty-seven".