21220330300200 has 576 divisors, whose sum is σ = 72823106790720. Its totient is φ = 5536727040000.

The previous prime is 21220330300181. The next prime is 21220330300217. The reversal of 21220330300200 is 200303302212.

It is a happy number.

21220330300200 is a `hidden beast` number, since 2 + 12 + 2 + 0 + 330 + 300 + 20 + 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 143 ways as a sum of consecutive naturals, for example, 6120658867 + ... + 6120662333.

It is an arithmetic number, because the mean of its divisors is an integer number (126429004845).

Almost surely, 2^{21220330300200} is an apocalyptic number.

21220330300200 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 21220330300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36411553395360).

21220330300200 is an abundant number, since it is smaller than the sum of its proper divisors (51602776490520).

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

21220330300200 is a wasteful number, since it uses less digits than its factorization.

21220330300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21220330300200 its reverse (200303302212), we get a palindrome (21420633602412).

The spelling of 21220330300200 in words is "twenty-one trillion, two hundred twenty billion, three hundred thirty million, three hundred thousand, two hundred".