100002122009 has 2 divisors, whose sum is σ = 100002122010. Its totient is φ = 100002122008.

The previous prime is 100002121991. The next prime is 100002122021. The reversal of 100002122009 is 900221200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100000147984 + 1974025 = 316228^2 + 1405^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002122009 - 2³² = 95707154713 is a prime.

It is not a weakly prime, because it can be changed into another prime (100002122309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001061004 + 50001061005.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061005).

Almost surely, 2^100002122009 is an apocalyptic number.

It is an amenable number.

100002122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002122009 is an equidigital number, since it uses as much as digits as its factorization.

100002122009 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 17.

The spelling of 100002122009 in words is "one hundred billion, two million, one hundred twenty-two thousand, nine".