21281408103300 has 576 divisors, whose sum is σ = 66794124902400. Its totient is φ = 5215129920000.

The previous prime is 21281408103289. The next prime is 21281408103311. The reversal of 21281408103300 is 330180418212.

It is an interprime number because it is at equal distance from previous prime (21281408103289) and next prime (21281408103311).

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 191 ways as a sum of consecutive naturals, for example, 10582499295 + ... + 10582501305.

It is an arithmetic number, because the mean of its divisors is an integer number (115962022400).

Almost surely, 2^{21281408103300} is an apocalyptic number.

21281408103300 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 21281408103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33397062451200).

21281408103300 is an abundant number, since it is smaller than the sum of its proper divisors (45512716799100).

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

21281408103300 is a wasteful number, since it uses less digits than its factorization.

21281408103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 21281408103300 in words is "twenty-one trillion, two hundred eighty-one billion, four hundred eight million, one hundred three thousand, three hundred".