2122111112 has 16 divisors (see below), whose sum is σ = 4340682000. Its totient is φ = 964595920.

The previous prime is 2122111099. The next prime is 2122111129. The reversal of 2122111112 is 2111112212.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12057362 + ... + 12057537.

It is an arithmetic number, because the mean of its divisors is an integer number (271292625).

Almost surely, 2^2122111112 is an apocalyptic number.

2122111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2122111112 is an abundant number, since it is smaller than the sum of its proper divisors (2218570888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122111112 is a wasteful number, since it uses less digits than its factorization.

2122111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24114916 (or 24114912 counting only the distinct ones).

The product of its digits is 16, while the sum is 14.

The square root of 2122111112 is about 46066.3772398047. The cubic root of 2122111112 is about 1285.0579315482.

Adding to 2122111112 its reverse (2111112212), we get a palindrome (4233223324).

It can be divided in two parts, 212 and 2111112, that multiplied together give a palindrome (447555744).

The spelling of 2122111112 in words is "two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twelve".