111101111000129 has 2 divisors, whose sum is σ = 111101111000130. Its totient is φ = 111101111000128.

The previous prime is 111101111000059. The next prime is 111101111000237. The reversal of 111101111000129 is 921000111101111.

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., 100343334191104 + 10757776809025 = 10017152^2 + 3279905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101111000129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111101111000129.

It is not a weakly prime, because it can be changed into another prime (111101111200129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555500064 + 55550555500065.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555500065).

Almost surely, 2^{111101111000129} is an apocalyptic number.

It is an amenable number.

111101111000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101111000129 is an equidigital number, since it uses as much as digits as its factorization.

111101111000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 111101111000129 in words is "one hundred eleven trillion, one hundred one billion, one hundred eleven million, one hundred twenty-nine", and thus it is an aban number.