21303241403100 has 288 divisors, whose sum is σ = 62739647072256. Its totient is φ = 5579962214400.

The previous prime is 21303241403083. The next prime is 21303241403107. The reversal of 21303241403100 is 130414230312.

It is a happy number.

It is a super-2 number, since 2×21303241403100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303241403107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7772067730 + ... + 7772070470.

Almost surely, 2^{21303241403100} is an apocalyptic number.

21303241403100 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 21303241403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31369823536128).

21303241403100 is an abundant number, since it is smaller than the sum of its proper divisors (41436405669156).

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

21303241403100 is a wasteful number, since it uses less digits than its factorization.

21303241403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21303241403100 its reverse (130414230312), we get a palindrome (21433655633412).

The spelling of 21303241403100 in words is "twenty-one trillion, three hundred three billion, two hundred forty-one million, four hundred three thousand, one hundred".