100101000111009 has 8 divisors (see below), whose sum is σ = 141319058980320. Its totient is φ = 62808470657856.

The previous prime is 100101000110989. The next prime is 100101000111029. The reversal of 100101000111009 is 900111000101001.

It is an interprime number because it is at equal distance from previous prime (100101000110989) and next prime (100101000111029).

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

It is not a de Polignac number, because 100101000111009 - 2²⁰ = 100100999062433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101000111029) 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, 981382353979 + ... + 981382354080.

It is an arithmetic number, because the mean of its divisors is an integer number (17664882372540).

Almost surely, 2^{100101000111009} is an apocalyptic number.

It is an amenable number.

100101000111009 is a deficient number, since it is larger than the sum of its proper divisors (41218058869311).

100101000111009 is a wasteful number, since it uses less digits than its factorization.

100101000111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962764708079.

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

The spelling of 100101000111009 in words is "one hundred trillion, one hundred one billion, one hundred eleven thousand, nine".