111111100010137 has 2 divisors, whose sum is σ = 111111100010138. Its totient is φ = 111111100010136.

The previous prime is 111111100010101. The next prime is 111111100010159. The reversal of 111111100010137 is 731010001111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110106847498761 + 1004252511376 = 10493181^2 + 1002124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111100010137 is a prime.

It is not a weakly prime, because it can be changed into another prime (111111100011137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555550005068 + 55555550005069.

It is an arithmetic number, because the mean of its divisors is an integer number (55555550005069).

Almost surely, 2^{111111100010137} is an apocalyptic number.

It is an amenable number.

111111100010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111100010137 is an equidigital number, since it uses as much as digits as its factorization.

111111100010137 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 111111100010137 its reverse (731010001111111), we get a palindrome (842121101121248).

The spelling of 111111100010137 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, ten thousand, one hundred thirty-seven".