100011100110111 has 20 divisors (see below), whose sum is σ = 154218629882944. Its totient is φ = 64523290392000.

The previous prime is 100011100110109. The next prime is 100011100110179. The reversal of 100011100110111 is 111011001110001.

It is not a de Polignac number, because 100011100110111 - 2¹ = 100011100110109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011100110093 and 100011100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011100110191) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19914593290 + ... + 19914598311.

Almost surely, 2^{100011100110111} is an apocalyptic number.

100011100110111 is a deficient number, since it is larger than the sum of its proper divisors (54207529772833).

100011100110111 is an equidigital number, since it uses as much as digits as its factorization.

100011100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39829191644 (or 39829191635 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100011100110111 its reverse (111011001110001), we get a palindrome (211022101220112).

The spelling of 100011100110111 in words is "one hundred trillion, eleven billion, one hundred million, one hundred ten thousand, one hundred eleven".