110110110100129 has 2 divisors, whose sum is σ = 110110110100130. Its totient is φ = 110110110100128.

The previous prime is 110110110099967. The next prime is 110110110100139. The reversal of 110110110100129 is 921001011011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108908843683600 + 1201266416529 = 10435940^2 + 1096023^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110110100129 - 2⁹ = 110110110099617 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110110100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055055050064 + 55055055050065.

It is an arithmetic number, because the mean of its divisors is an integer number (55055055050065).

Almost surely, 2^{110110110100129} is an apocalyptic number.

It is an amenable number.

110110110100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110110100129 is an equidigital number, since it uses as much as digits as its factorization.

110110110100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 110110110100129 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred twenty-nine".