21301312200 has 192 divisors, whose sum is σ = 77308801920. Its totient is φ = 4750080000.

The previous prime is 21301312199. The next prime is 21301312213. The reversal of 21301312200 is 221310312.

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 21301312200.

It is an unprimeable number.

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, 110350 + ... + 234050.

It is an arithmetic number, because the mean of its divisors is an integer number (402650010).

Almost surely, 2^21301312200 is an apocalyptic number.

21301312200 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 21301312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38654400960).

21301312200 is an abundant number, since it is smaller than the sum of its proper divisors (56007489720).

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

21301312200 is a wasteful number, since it uses less digits than its factorization.

21301312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123768 (or 123759 counting only the distinct ones).

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

Adding to 21301312200 its reverse (221310312), we get a palindrome (21522622512).

The spelling of 21301312200 in words is "twenty-one billion, three hundred one million, three hundred twelve thousand, two hundred".