21133125200 has 120 divisors (see below), whose sum is σ = 55534883040. Its totient is φ = 7664396800.

The previous prime is 21133125149. The next prime is 21133125203. The reversal of 21133125200 is 252133112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133125203) 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 23 ways as a sum of consecutive naturals, for example, 1705427 + ... + 1717773.

It is an arithmetic number, because the mean of its divisors is an integer number (462790692).

Almost surely, 2^21133125200 is an apocalyptic number.

21133125200 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 21133125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27767441520).

21133125200 is an abundant number, since it is smaller than the sum of its proper divisors (34401757840).

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

21133125200 is a wasteful number, since it uses less digits than its factorization.

21133125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 21133125200 its reverse (252133112), we get a palindrome (21385258312).

The spelling of 21133125200 in words is "twenty-one billion, one hundred thirty-three million, one hundred twenty-five thousand, two hundred".