21300100224 has 384 divisors, whose sum is σ = 66525624000. Its totient is φ = 6011486208.

The previous prime is 21300100193. The next prime is 21300100229. The reversal of 21300100224 is 42200100312.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (21300100229) 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 47 ways as a sum of consecutive naturals, for example, 47438752 + ... + 47439200.

Almost surely, 2^21300100224 is an apocalyptic number.

21300100224 is a gapful number since it is divisible by the number (24) 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 21300100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33262812000).

21300100224 is an abundant number, since it is smaller than the sum of its proper divisors (45225523776).

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

21300100224 is a wasteful number, since it uses less digits than its factorization.

21300100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21300100224 its reverse (42200100312), we get a palindrome (63500200536).

The spelling of 21300100224 in words is "twenty-one billion, three hundred million, one hundred thousand, two hundred twenty-four".