21302001003200 has 168 divisors, whose sum is σ = 53288887563744. Its totient is φ = 8379012096000.

The previous prime is 21302001003193. The next prime is 21302001003209. The reversal of 21302001003200 is 230010020312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21302001003209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422289980 + ... + 422340420.

It is an arithmetic number, because the mean of its divisors is an integer number (317195759308).

Almost surely, 2^{21302001003200} is an apocalyptic number.

21302001003200 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 21302001003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26644443781872).

21302001003200 is an abundant number, since it is smaller than the sum of its proper divisors (31986886560544).

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

21302001003200 is a wasteful number, since it uses less digits than its factorization.

21302001003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54851 (or 54836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21302001003200 its reverse (230010020312), we get a palindrome (21532011023512).

The spelling of 21302001003200 in words is "twenty-one trillion, three hundred two billion, one million, three thousand, two hundred".