2112000111 has 24 divisors (see below), whose sum is σ = 3288304656. Its totient is φ = 1298517120.

The previous prime is 2112000097. The next prime is 2112000113. The reversal of 2112000111 is 1110002112.

It is a happy number.

It is not a de Polignac number, because 2112000111 - 2⁹ = 2111999599 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 = 2112000093 and 2112000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112000113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132016 + ... + 147146.

It is an arithmetic number, because the mean of its divisors is an integer number (137012694).

Almost surely, 2^2112000111 is an apocalyptic number.

2112000111 is a deficient number, since it is larger than the sum of its proper divisors (1176304545).

2112000111 is a wasteful number, since it uses less digits than its factorization.

2112000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16343 (or 16340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2112000111 is about 45956.5023799680. The cubic root of 2112000111 is about 1283.0137544754.

Adding to 2112000111 its reverse (1110002112), we get a palindrome (3222002223).

The spelling of 2112000111 in words is "two billion, one hundred twelve million, one hundred eleven", and thus it is an aban number.