100100010109 has 16 divisors (see below), whose sum is σ = 110551337280. Its totient is φ = 89878320000.

The previous prime is 100100010097. The next prime is 100100010121. The reversal of 100100010109 is 901010001001.

It is an interprime number because it is at equal distance from previous prime (100100010097) and next prime (100100010121).

It is a cyclic number.

It is not a de Polignac number, because 100100010109 - 2²⁵ = 100066455677 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 (100100010169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344254 + ... + 564544.

It is an arithmetic number, because the mean of its divisors is an integer number (6909458580).

Almost surely, 2^100100010109 is an apocalyptic number.

It is an amenable number.

100100010109 is a deficient number, since it is larger than the sum of its proper divisors (10451327171).

100100010109 is a wasteful number, since it uses less digits than its factorization.

100100010109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220812.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100100010109 in words is "one hundred billion, one hundred million, ten thousand, one hundred nine".