111100101059 has 2 divisors, whose sum is σ = 111100101060. Its totient is φ = 111100101058.

The previous prime is 111100101031. The next prime is 111100101061. The reversal of 111100101059 is 950101001111.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 111100101059 - 2²⁴ = 111083323843 is a prime.

Together with 111100101061, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111100101059.

It is not a weakly prime, because it can be changed into another prime (111100101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550050529 + 55550050530.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050530).

Almost surely, 2^111100101059 is an apocalyptic number.

111100101059 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100101059 is an equidigital number, since it uses as much as digits as its factorization.

111100101059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 20.

The spelling of 111100101059 in words is "one hundred eleven billion, one hundred million, one hundred one thousand, fifty-nine".