21200200200 has 192 divisors, whose sum is σ = 77318712000. Its totient is φ = 5320811520.

The previous prime is 21200200169. The next prime is 21200200201. The reversal of 21200200200 is 200200212.

It is a Harshad number since it is a multiple of its sum of digits (9).

21200200200 is a modest number, since divided by 200200 gives 21200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (21200200201) 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, 23670 + ... + 207269.

It is an arithmetic number, because the mean of its divisors is an integer number (402701625).

Almost surely, 2^21200200200 is an apocalyptic number.

21200200200 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 21200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38659356000).

21200200200 is an abundant number, since it is smaller than the sum of its proper divisors (56118511800).

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

21200200200 is a wasteful number, since it uses less digits than its factorization.

21200200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230981 (or 230966 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21200200200 its reverse (200200212), we get a palindrome (21400400412).

The spelling of 21200200200 in words is "twenty-one billion, two hundred million, two hundred thousand, two hundred".