100111101009 has 8 divisors (see below), whose sum is σ = 133963351680. Its totient is φ = 66499792176.

The previous prime is 100111101001. The next prime is 100111101031. The reversal of 100111101009 is 900101111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100111101009 - 2³ = 100111101001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60234489 + ... + 60236150.

It is an arithmetic number, because the mean of its divisors is an integer number (16745418960).

Almost surely, 2^100111101009 is an apocalyptic number.

It is an amenable number.

100111101009 is a deficient number, since it is larger than the sum of its proper divisors (33852250671).

100111101009 is a wasteful number, since it uses less digits than its factorization.

100111101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120470919.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 100111101009 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, nine".