100002122309 has 2 divisors, whose sum is σ = 100002122310. Its totient is φ = 100002122308.

The previous prime is 100002122287. The next prime is 100002122377. The reversal of 100002122309 is 903221200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78244397284 + 21757725025 = 279722^2 + 147505^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002122309 - 2¹⁶ = 100002056773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002122009) 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, 50001061154 + 50001061155.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061155).

Almost surely, 2^100002122309 is an apocalyptic number.

It is an amenable number.

100002122309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002122309 is an equidigital number, since it uses as much as digits as its factorization.

100002122309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 100002122309 in words is "one hundred billion, two million, one hundred twenty-two thousand, three hundred nine".