21302220103200 has 432 divisors, whose sum is σ = 77300959671936. Its totient is φ = 5517276211200.

The previous prime is 21302220103159. The next prime is 21302220103217. The reversal of 21302220103200 is 230102220312.

21302220103200 is a `hidden beast` number, since 21 + 302 + 2 + 20 + 1 + 0 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 44090134 + ... + 44570666.

It is an arithmetic number, because the mean of its divisors is an integer number (178937406648).

Almost surely, 2^{21302220103200} is an apocalyptic number.

21302220103200 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 21302220103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38650479835968).

21302220103200 is an abundant number, since it is smaller than the sum of its proper divisors (55998739568736).

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

21302220103200 is a wasteful number, since it uses less digits than its factorization.

21302220103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480737 (or 480721 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21302220103200 its reverse (230102220312), we get a palindrome (21532322323512).

The spelling of 21302220103200 in words is "twenty-one trillion, three hundred two billion, two hundred twenty million, one hundred three thousand, two hundred".