100100129209 has 2 divisors, whose sum is σ = 100100129210. Its totient is φ = 100100129208.

The previous prime is 100100129203. The next prime is 100100129251. The reversal of 100100129209 is 902921001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83768567184 + 16331562025 = 289428^2 + 127795^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100129209 - 2⁵ = 100100129177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100129203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050064604 + 50050064605.

It is an arithmetic number, because the mean of its divisors is an integer number (50050064605).

Almost surely, 2^100100129209 is an apocalyptic number.

It is an amenable number.

100100129209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100129209 is an equidigital number, since it uses as much as digits as its factorization.

100100129209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 100100129209 in words is "one hundred billion, one hundred million, one hundred twenty-nine thousand, two hundred nine".