21133210200 has 192 divisors, whose sum is σ = 66489271200. Its totient is φ = 5552025600.

The previous prime is 21133210141. The next prime is 21133210207. The reversal of 21133210200 is 201233112.

It is a super-2 number, since 2×21133210200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21133210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133210207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19917670 + ... + 19918730.

Almost surely, 2^21133210200 is an apocalyptic number.

21133210200 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 21133210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33244635600).

21133210200 is an abundant number, since it is smaller than the sum of its proper divisors (45356061000).

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

21133210200 is a wasteful number, since it uses less digits than its factorization.

21133210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21133210200 its reverse (201233112), we get a palindrome (21334443312).

The spelling of 21133210200 in words is "twenty-one billion, one hundred thirty-three million, two hundred ten thousand, two hundred".