111011120099137 has 2 divisors, whose sum is σ = 111011120099138. Its totient is φ = 111011120099136.

The previous prime is 111011120099119. The next prime is 111011120099153. The reversal of 111011120099137 is 731990021110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108260195993856 + 2750924105281 = 10404816^2 + 1658591^2 .

It is an emirp because it is prime and its reverse (731990021110111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111011120099137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111011120099096 and 111011120099105.

It is not a weakly prime, because it can be changed into another prime (111011120099837) 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, 55505560049568 + 55505560049569.

It is an arithmetic number, because the mean of its divisors is an integer number (55505560049569).

Almost surely, 2^{111011120099137} is an apocalyptic number.

It is an amenable number.

111011120099137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011120099137 is an equidigital number, since it uses as much as digits as its factorization.

111011120099137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 37.

The spelling of 111011120099137 in words is "one hundred eleven trillion, eleven billion, one hundred twenty million, ninety-nine thousand, one hundred thirty-seven".