2122113111 has 16 divisors (see below), whose sum is σ = 2997280224. Its totient is φ = 1330919424.

The previous prime is 2122113109. The next prime is 2122113113. The reversal of 2122113111 is 1113112212.

It is an interprime number because it is at equal distance from previous prime (2122113109) and next prime (2122113113).

It is not a de Polignac number, because 2122113111 - 2¹ = 2122113109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122113113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122271 + ... + 138543.

It is an arithmetic number, because the mean of its divisors is an integer number (187330014).

Almost surely, 2^2122113111 is an apocalyptic number.

2122113111 is a deficient number, since it is larger than the sum of its proper divisors (875167113).

2122113111 is a wasteful number, since it uses less digits than its factorization.

2122113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18850.

The product of its digits is 24, while the sum is 15.

The square root of 2122113111 is about 46066.3989367522. The cubic root of 2122113111 is about 1285.0583350505.

Adding to 2122113111 its reverse (1113112212), we get a palindrome (3235225323).

The spelling of 2122113111 in words is "two billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred eleven".