100111101111 has 48 divisors (see below), whose sum is σ = 166568263680. Its totient is φ = 56755028160.

The previous prime is 100111101107. The next prime is 100111101127. The reversal of 100111101111 is 111101111001.

It is not a de Polignac number, because 100111101111 - 2² = 100111101107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111101093 and 100111101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101611) 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, 16293706 + ... + 16299848.

It is an arithmetic number, because the mean of its divisors is an integer number (3470172160).

Almost surely, 2^100111101111 is an apocalyptic number.

100111101111 is a deficient number, since it is larger than the sum of its proper divisors (66457162569).

100111101111 is a wasteful number, since it uses less digits than its factorization.

100111101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8153 counting only the distinct ones).

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

Adding to 100111101111 its reverse (111101111001), we get a palindrome (211212212112).

The spelling of 100111101111 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one hundred eleven".