21210222112200 has 288 divisors, whose sum is σ = 77711293614240. Its totient is φ = 5141557555200.

The previous prime is 21210222112171. The next prime is 21210222112213. The reversal of 21210222112200 is 221122201212.

It is a happy number.

21210222112200 is a `hidden beast` number, since 2 + 1 + 210 + 22 + 211 + 220 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 621564339 + ... + 621598461.

It is an arithmetic number, because the mean of its divisors is an integer number (269830880605).

Almost surely, 2^{21210222112200} is an apocalyptic number.

21210222112200 is a gapful number since it is divisible by the number (20) 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 21210222112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38855646807120).

21210222112200 is an abundant number, since it is smaller than the sum of its proper divisors (56501071502040).

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

21210222112200 is a wasteful number, since it uses less digits than its factorization.

21210222112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65549 (or 65537 counting only the distinct ones).

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

Adding to 21210222112200 its reverse (221122201212), we get a palindrome (21431344313412).

The spelling of 21210222112200 in words is "twenty-one trillion, two hundred ten billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".