21330322202200 has 384 divisors, whose sum is σ = 57409254144000. Its totient is φ = 7297432934400.

The previous prime is 21330322202179. The next prime is 21330322202201. The reversal of 21330322202200 is 220222303312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330322202201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 686663869 + ... + 686694931.

It is an arithmetic number, because the mean of its divisors is an integer number (149503266000).

Almost surely, 2^{21330322202200} is an apocalyptic number.

21330322202200 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 21330322202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28704627072000).

21330322202200 is an abundant number, since it is smaller than the sum of its proper divisors (36078931941800).

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

21330322202200 is a wasteful number, since it uses less digits than its factorization.

21330322202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31395 (or 31386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21330322202200 its reverse (220222303312), we get a palindrome (21550544505512).

The spelling of 21330322202200 in words is "twenty-one trillion, three hundred thirty billion, three hundred twenty-two million, two hundred two thousand, two hundred".