21002003220312 has 192 divisors, whose sum is σ = 61463885633280. Its totient is φ = 6453883478016.

The previous prime is 21002003220307. The next prime is 21002003220379. The reversal of 21002003220312 is 21302230020012.

21002003220312 is a `hidden beast` number, since 2 + 10 + 0 + 20 + 0 + 322 + 0 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39110628 + ... + 39643980.

It is an arithmetic number, because the mean of its divisors is an integer number (320124404340).

Almost surely, 2^{21002003220312} 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 21002003220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30731942816640).

21002003220312 is an abundant number, since it is smaller than the sum of its proper divisors (40461882412968).

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

21002003220312 is a wasteful number, since it uses less digits than its factorization.

21002003220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534042 (or 534035 counting only the distinct ones).

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

Adding to 21002003220312 its reverse (21302230020012), we get a palindrome (42304233240324).

The spelling of 21002003220312 in words is "twenty-one trillion, two billion, three million, two hundred twenty thousand, three hundred twelve".