2121111221112 has 256 divisors, whose sum is σ = 6442732800000. Its totient is φ = 642662512128.

The previous prime is 2121111221087. The next prime is 2121111221149. The reversal of 2121111221112 is 2111221111212.

It is a happy number.

It is a super-2 number, since 2×2121111221112² (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.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84061714 + ... + 84086942.

It is an arithmetic number, because the mean of its divisors is an integer number (25166925000).

Almost surely, 2^{2121111221112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121111221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221366400000).

2121111221112 is an abundant number, since it is smaller than the sum of its proper divisors (4321621578888).

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

2121111221112 is a wasteful number, since it uses less digits than its factorization.

2121111221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25715 (or 25705 counting only the distinct ones).

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

Adding to 2121111221112 its reverse (2111221111212), we get a palindrome (4232332332324).

The spelling of 2121111221112 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twelve".