21200221112112 has 240 divisors, whose sum is σ = 70100888113152. Its totient is φ = 5854466419200.

The previous prime is 21200221112107. The next prime is 21200221112113. The reversal of 21200221112112 is 21121112200212.

21200221112112 is a `hidden beast` number, since 21 + 200 + 221 + 11 + 211 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21200221112113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3749473 + ... + 7513919.

Almost surely, 2^{21200221112112} 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 21200221112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35050444056576).

21200221112112 is an abundant number, since it is smaller than the sum of its proper divisors (48900667001040).

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

21200221112112 is a wasteful number, since it uses less digits than its factorization.

21200221112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764656 (or 3764647 counting only the distinct ones).

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

Adding to 21200221112112 its reverse (21121112200212), we get a palindrome (42321333312324).

The spelling of 21200221112112 in words is "twenty-one trillion, two hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twelve".