21221211200200 has 192 divisors, whose sum is σ = 54716574165120. Its totient is φ = 7588982016000.

The previous prime is 21221211200191. The next prime is 21221211200201. The reversal of 21221211200200 is 200211212212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21221211200201) 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, 1104858997 + ... + 1104878203.

It is an arithmetic number, because the mean of its divisors is an integer number (284982157110).

Almost surely, 2^{21221211200200} is an apocalyptic number.

21221211200200 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 21221211200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358287082560).

21221211200200 is an abundant number, since it is smaller than the sum of its proper divisors (33495362964920).

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

21221211200200 is a wasteful number, since it uses less digits than its factorization.

21221211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27528 (or 27519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21221211200200 its reverse (200211212212), we get a palindrome (21421422412412).

The spelling of 21221211200200 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred eleven million, two hundred thousand, two hundred".