210112101100129 has 2 divisors, whose sum is σ = 210112101100130. Its totient is φ = 210112101100128.

The previous prime is 210112101100091. The next prime is 210112101100183. The reversal of 210112101100129 is 921001101211012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202845302610129 + 7266798490000 = 14242377^2 + 2695700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210112101100129 is a prime.

It is not a weakly prime, because it can be changed into another prime (210112101100189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105056050550064 + 105056050550065.

It is an arithmetic number, because the mean of its divisors is an integer number (105056050550065).

Almost surely, 2^{210112101100129} is an apocalyptic number.

It is an amenable number.

210112101100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

210112101100129 is an equidigital number, since it uses as much as digits as its factorization.

210112101100129 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 210112101100129 in words is "two hundred ten trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one hundred twenty-nine".