21201022000200 has 384 divisors, whose sum is σ = 77269682995200. Its totient is φ = 4707187706880.

The previous prime is 21201022000199. The next prime is 21201022000259. The reversal of 21201022000200 is 200022010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94215421 + ... + 94440179.

It is an arithmetic number, because the mean of its divisors is an integer number (201223132800).

Almost surely, 2^{21201022000200} is an apocalyptic number.

21201022000200 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 21201022000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38634841497600).

21201022000200 is an abundant number, since it is smaller than the sum of its proper divisors (56068660995000).

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

21201022000200 is a wasteful number, since it uses less digits than its factorization.

21201022000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225429 (or 225420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21201022000200 its reverse (200022010212), we get a palindrome (21401044010412).

The spelling of 21201022000200 in words is "twenty-one trillion, two hundred one billion, twenty-two million, two hundred", and thus it is an aban number.