2121111122112 has 84 divisors (see below), whose sum is σ = 6182829305640. Its totient is φ = 695053350912.

The previous prime is 2121111122111. The next prime is 2121111122129. The reversal of 2121111122112 is 2112211111212.

It is a happy number.

It is a super-2 number, since 2×2121111122112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2121111122111) 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 11 ways as a sum of consecutive naturals, for example, 31173513 + ... + 31241480.

Almost surely, 2^{2121111122112} is an apocalyptic number.

It is an amenable number.

2121111122112 is an abundant number, since it is smaller than the sum of its proper divisors (4061718183528).

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

2121111122112 is a wasteful number, since it uses less digits than its factorization.

2121111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62415070 (or 62415057 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2121111122112 its reverse (2112211111212), we get a palindrome (4233322233324).

The spelling of 2121111122112 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".