21303212030100 has 1728 divisors, whose sum is σ = 93595729823232. Its totient is φ = 3910146048000.

The previous prime is 21303212030083. The next prime is 21303212030117. The reversal of 21303212030100 is 103021230312.

21303212030100 is a `hidden beast` number, since 2 + 130 + 321 + 203 + 0 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21303212030083) and next prime (21303212030117).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2033326062 + ... + 2033336538.

Almost surely, 2^{21303212030100} is an apocalyptic number.

21303212030100 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 21303212030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797864911616).

21303212030100 is an abundant number, since it is smaller than the sum of its proper divisors (72292517793132).

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

21303212030100 is a wasteful number, since it uses less digits than its factorization.

21303212030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21303212030100 its reverse (103021230312), we get a palindrome (21406233260412).

The spelling of 21303212030100 in words is "twenty-one trillion, three hundred three billion, two hundred twelve million, thirty thousand, one hundred".