100122011309 has 16 divisors (see below), whose sum is σ = 108196337088. Its totient is φ = 92296518912.

The previous prime is 100122011261. The next prime is 100122011323. The reversal of 100122011309 is 903110221001.

It is a cyclic number.

It is not a de Polignac number, because 100122011309 - 2²⁴ = 100105234093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122011329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434234 + ... + 623540.

It is an arithmetic number, because the mean of its divisors is an integer number (6762271068).

Almost surely, 2^100122011309 is an apocalyptic number.

It is an amenable number.

100122011309 is a deficient number, since it is larger than the sum of its proper divisors (8074325779).

100122011309 is a wasteful number, since it uses less digits than its factorization.

100122011309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189964.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 100122011309 in words is "one hundred billion, one hundred twenty-two million, eleven thousand, three hundred nine".