110100132122129 has 2 divisors, whose sum is σ = 110100132122130. Its totient is φ = 110100132122128.

The previous prime is 110100132122093. The next prime is 110100132122203. The reversal of 110100132122129 is 921221231001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62026335462400 + 48073796659729 = 7875680^2 + 6933527^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100132122129 - 2²⁴ = 110100115344913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100132122098 and 110100132122107.

It is not a weakly prime, because it can be changed into another prime (110100132142129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050066061064 + 55050066061065.

It is an arithmetic number, because the mean of its divisors is an integer number (55050066061065).

Almost surely, 2^{110100132122129} is an apocalyptic number.

It is an amenable number.

110100132122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100132122129 is an equidigital number, since it uses as much as digits as its factorization.

110100132122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 110100132122129 in words is "one hundred ten trillion, one hundred billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-nine".