100111100100009 has 8 divisors (see below), whose sum is σ = 141333317788320. Its totient is φ = 62814807905856.

The previous prime is 100111100099993. The next prime is 100111100100013. The reversal of 100111100100009 is 900001001111001.

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

It is not a de Polignac number, because 100111100100009 - 2⁴ = 100111100099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111100100509) 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, 981481373479 + ... + 981481373580.

It is an arithmetic number, because the mean of its divisors is an integer number (17666664723540).

Almost surely, 2^{100111100100009} is an apocalyptic number.

It is an amenable number.

100111100100009 is a deficient number, since it is larger than the sum of its proper divisors (41222217688311).

100111100100009 is a wasteful number, since it uses less digits than its factorization.

100111100100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962962747079.

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

The spelling of 100111100100009 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred thousand, nine".