100111011111 has 96 divisors (see below), whose sum is σ = 160537448448. Its totient is φ = 59920439040.

The previous prime is 100111011109. The next prime is 100111011113. The reversal of 100111011111 is 111110111001.

It is an interprime number because it is at equal distance from previous prime (100111011109) and next prime (100111011113).

It is not a de Polignac number, because 100111011111 - 2¹ = 100111011109 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 = 100111011093 and 100111011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25556125 + ... + 25560041.

It is an arithmetic number, because the mean of its divisors is an integer number (1672265088).

Almost surely, 2^100111011111 is an apocalyptic number.

100111011111 is a deficient number, since it is larger than the sum of its proper divisors (60426437337).

100111011111 is a wasteful number, since it uses less digits than its factorization.

100111011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4098 counting only the distinct ones).

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

Adding to 100111011111 its reverse (111110111001), we get a palindrome (211221122112).

The spelling of 100111011111 in words is "one hundred billion, one hundred eleven million, eleven thousand, one hundred eleven".