2112111 has 12 divisors (see below), whose sum is σ = 3064360. Its totient is φ = 1401840.

The previous prime is 2112107. The next prime is 2112127. The reversal of 2112111 is 1112112.

It is a happy number.

2112111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2112111 - 2² = 2112107 is a prime.

It is a super-2 number, since 2×2112111² = 8922025752642, which contains 22 as substring.

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 = 2112093 and 2112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2625 + ... + 3333.

2^2112111 is an apocalyptic number.

2112111 is a deficient number, since it is larger than the sum of its proper divisors (952249).

2112111 is a wasteful number, since it uses less digits than its factorization.

2112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1043 counting only the distinct ones).

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

The square root of 2112111 is about 1453.3103591456. The cubic root of 2112111 is about 128.3036208644.

Adding to 2112111 its reverse (1112112), we get a palindrome (3224223).

Subtracting from 2112111 its reverse (1112112), we obtain a palindrome (999999).

It can be divided in two parts, 2112 and 111, that multiplied together give a palindrome (234432).

The spelling of 2112111 in words is "two million, one hundred twelve thousand, one hundred eleven".