110001011000129 has 2 divisors, whose sum is σ = 110001011000130. Its totient is φ = 110001011000128.

The previous prime is 110001010999981. The next prime is 110001011000141. The reversal of 110001011000129 is 921000110100011.

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., 102897997138225 + 7103013861904 = 10143865^2 + 2665148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110001011000129 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001011009129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000505500064 + 55000505500065.

It is an arithmetic number, because the mean of its divisors is an integer number (55000505500065).

Almost surely, 2^{110001011000129} is an apocalyptic number.

It is an amenable number.

110001011000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001011000129 is an equidigital number, since it uses as much as digits as its factorization.

110001011000129 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 17.

The spelling of 110001011000129 in words is "one hundred ten trillion, one billion, eleven million, one hundred twenty-nine", and thus it is an aban number.