2112221112210 has 384 divisors, whose sum is σ = 6297874053120. Its totient is φ = 486466560000.

The previous prime is 2112221112203. The next prime is 2112221112229. The reversal of 2112221112210 is 122111222112.

2112221112210 is a `hidden beast` number, since 211 + 2 + 221 + 11 + 221 + 0 = 666.

It is a super-2 number, since 2×2112221112210² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1551961930 + ... + 1551963290.

It is an arithmetic number, because the mean of its divisors is an integer number (16400713680).

Almost surely, 2^{2112221112210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112221112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148937026560).

2112221112210 is an abundant number, since it is smaller than the sum of its proper divisors (4185652940910).

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

2112221112210 is a wasteful number, since it uses less digits than its factorization.

2112221112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112221112210 its reverse (122111222112), we get a palindrome (2234332334322).

The spelling of 2112221112210 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, two hundred ten".