21044100221312 has 192 divisors, whose sum is σ = 49621656272400. Its totient is φ = 8861286518784.

The previous prime is 21044100221267. The next prime is 21044100221323. The reversal of 21044100221312 is 21312200144012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738971618 + ... + 739000094.

Almost surely, 2^{21044100221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21044100221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24810828136200).

21044100221312 is an abundant number, since it is smaller than the sum of its proper divisors (28577556051088).

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

21044100221312 is a wasteful number, since it uses less digits than its factorization.

21044100221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30561 (or 30542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21044100221312 its reverse (21312200144012), we get a palindrome (42356300365324).

The spelling of 21044100221312 in words is "twenty-one trillion, forty-four billion, one hundred million, two hundred twenty-one thousand, three hundred twelve".