111100101101137 has 2 divisors, whose sum is σ = 111100101101138. Its totient is φ = 111100101101136.

The previous prime is 111100101101083. The next prime is 111100101101149. The reversal of 111100101101137 is 731101101001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107992915777296 + 3107185323841 = 10391964^2 + 1762721^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100101101137 - 2⁷ = 111100101101009 is a prime.

It is not a weakly prime, because it can be changed into another prime (111100101107137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550050550568 + 55550050550569.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050550569).

Almost surely, 2^{111100101101137} is an apocalyptic number.

It is an amenable number.

111100101101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100101101137 is an equidigital number, since it uses as much as digits as its factorization.

111100101101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 19.

Adding to 111100101101137 its reverse (731101101001111), we get a palindrome (842201202102248).

The spelling of 111100101101137 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred thirty-seven".