21112200221112 has 768 divisors, whose sum is σ = 82274896005120. Its totient is φ = 4710912307200.

The previous prime is 21112200221093. The next prime is 21112200221153.

21112200221112 is a `hidden beast` number, since 2 + 111 + 220 + 0 + 221 + 112 = 666.

21112200221112 is nontrivially palindromic in base 10.

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

It is a congruent number.

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, 61161162 + ... + 61505382.

It is an arithmetic number, because the mean of its divisors is an integer number (107128770840).

Almost surely, 2^{21112200221112} is an apocalyptic number.

21112200221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112200221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137448002560).

21112200221112 is an abundant number, since it is smaller than the sum of its proper divisors (61162695784008).

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

21112200221112 is a wasteful number, since it uses less digits than its factorization.

21112200221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344324 (or 344317 counting only the distinct ones).

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

It can be divided in two parts, 21112200 and 221112, that added together give a palindrome (21333312).

The spelling of 21112200221112 in words is "twenty-one trillion, one hundred twelve billion, two hundred million, two hundred twenty-one thousand, one hundred twelve".