2112100212222 has 320 divisors, whose sum is σ = 6377103710208. Its totient is φ = 504584640000.

The previous prime is 2112100212181. The next prime is 2112100212293. The reversal of 2112100212222 is 2222120012112.

It is a happy number.

2112100212222 is a `hidden beast` number, since 21 + 1 + 210 + 0 + 212 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112100212195 and 2112100212204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45544347 + ... + 45590697.

Almost surely, 2^{2112100212222} is an apocalyptic number.

2112100212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112100212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188551855104).

2112100212222 is an abundant number, since it is smaller than the sum of its proper divisors (4265003497986).

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

2112100212222 is a wasteful number, since it uses less digits than its factorization.

2112100212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46677 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112100212222 its reverse (2222120012112), we get a palindrome (4334220224334).

The spelling of 2112100212222 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, two hundred twenty-two".