2122113 has 16 divisors (see below), whose sum is σ = 3261440. Its totient is φ = 1202256.

The previous prime is 2122103. The next prime is 2122123. The reversal of 2122113 is 3112212.

2122113 is nontrivially palindromic in base 2 and base 9.

It is an interprime number because it is at equal distance from previous prime (2122103) and next prime (2122123).

It is not a de Polignac number, because 2122113 - 2⁹ = 2121601 is a prime.

2122113 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2122103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556 + ... + 3282.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

2^2122113 is an apocalyptic number.

It is an amenable number.

2122113 is a deficient number, since it is larger than the sum of its proper divisors (1139327).

2122113 is a wasteful number, since it uses less digits than its factorization.

2122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876.

The product of its digits is 24, while the sum is 12.

The square root of 2122113 is about 1456.7474043224. The cubic root of 2122113 is about 128.5058312645.

Adding to 2122113 its reverse (3112212), we get a palindrome (5234325).

Subtracting 2122113 from its reverse (3112212), we obtain a palindrome (990099).

The spelling of 2122113 in words is "two million, one hundred twenty-two thousand, one hundred thirteen".