111100100221129 has 2 divisors, whose sum is σ = 111100100221130. Its totient is φ = 111100100221128.

The previous prime is 111100100221079. The next prime is 111100100221157. The reversal of 111100100221129 is 921122001001111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83312990484025 + 27787109737104 = 9127595^2 + 5271348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111100100221129 is a prime.

It is not a weakly prime, because it can be changed into another prime (111100500221129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550050110564 + 55550050110565.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050110565).

Almost surely, 2^{111100100221129} is an apocalyptic number.

It is an amenable number.

111100100221129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100100221129 is an equidigital number, since it uses as much as digits as its factorization.

111100100221129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 111100100221129 in words is "one hundred eleven trillion, one hundred billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-nine".