2111100111 has 8 divisors (see below), whose sum is σ = 3127555760. Its totient is φ = 1407400056.

The previous prime is 2111100107. The next prime is 2111100113. The reversal of 2111100111 is 1110011112.

It is not a de Polignac number, because 2111100111 - 2² = 2111100107 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 = 2111100093 and 2111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111100113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39094420 + ... + 39094473.

It is an arithmetic number, because the mean of its divisors is an integer number (390944470).

Almost surely, 2^2111100111 is an apocalyptic number.

2111100111 is a deficient number, since it is larger than the sum of its proper divisors (1016455649).

2111100111 is an equidigital number, since it uses as much as digits as its factorization.

2111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78188902 (or 78188896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 2111100111 is about 45946.7094686877. The cubic root of 2111100111 is about 1282.8314823196.

Adding to 2111100111 its reverse (1110011112), we get a palindrome (3221111223).

The spelling of 2111100111 in words is "two billion, one hundred eleven million, one hundred thousand, one hundred eleven".