110010110002129 has 2 divisors, whose sum is σ = 110010110002130. Its totient is φ = 110010110002128.

The previous prime is 110010110002033. The next prime is 110010110002139. The reversal of 110010110002129 is 921200011010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100724346967104 + 9285763035025 = 10036152^2 + 3047255^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010110002129 - 2³⁵ = 109975750263761 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010110002139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005055001064 + 55005055001065.

It is an arithmetic number, because the mean of its divisors is an integer number (55005055001065).

Almost surely, 2^{110010110002129} is an apocalyptic number.

It is an amenable number.

110010110002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010110002129 is an equidigital number, since it uses as much as digits as its factorization.

110010110002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 110010110002129 in words is "one hundred ten trillion, ten billion, one hundred ten million, two thousand, one hundred twenty-nine".