100100001000111 has 32 divisors (see below), whose sum is σ = 161201092147200. Its totient is φ = 53973579852000.

The previous prime is 100100001000089. The next prime is 100100001000217. The reversal of 100100001000111 is 111000100001001.

It is not a de Polignac number, because 100100001000111 - 2¹⁴ = 100100000983727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100001000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001001111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499655221 + ... + 499855518.

It is an arithmetic number, because the mean of its divisors is an integer number (5037534129600).

Almost surely, 2^{100100001000111} is an apocalyptic number.

100100001000111 is a deficient number, since it is larger than the sum of its proper divisors (61101091147089).

100100001000111 is a wasteful number, since it uses less digits than its factorization.

100100001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999511019.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001000111 its reverse (111000100001001), we get a palindrome (211100101001112).

The spelling of 100100001000111 in words is "one hundred trillion, one hundred billion, one million, one hundred eleven", and thus it is an aban number.