100111111000011 has 48 divisors (see below), whose sum is σ = 148745378410720. Its totient is φ = 64835461877760.

The previous prime is 100111111000007. The next prime is 100111111000057. The reversal of 100111111000011 is 110000111111001.

It is not a de Polignac number, because 100111111000011 - 2² = 100111111000007 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 = 100111110999957 and 100111111000002.

It is not an unprimeable number, because it can be changed into a prime (100111111000091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839566251 + ... + 839685483.

Almost surely, 2^{100111111000011} is an apocalyptic number.

100111111000011 is a deficient number, since it is larger than the sum of its proper divisors (48634267410709).

100111111000011 is a wasteful number, since it uses less digits than its factorization.

100111111000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123196 (or 123193 counting only the distinct ones).

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

Adding to 100111111000011 its reverse (110000111111001), we get a palindrome (210111222111012).

The spelling of 100111111000011 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, eleven", and thus it is an aban number.