21330321233100 has 288 divisors, whose sum is σ = 68201090850816. Its totient is φ = 5104208793600.

The previous prime is 21330321233059. The next prime is 21330321233147. The reversal of 21330321233100 is 133212303312.

It is a super-2 number, since 2×21330321233100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82433524 + ... + 82691876.

It is an arithmetic number, because the mean of its divisors is an integer number (236809343232).

Almost surely, 2^{21330321233100} is an apocalyptic number.

21330321233100 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 21330321233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34100545425408).

21330321233100 is an abundant number, since it is smaller than the sum of its proper divisors (46870769617716).

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

21330321233100 is a wasteful number, since it uses less digits than its factorization.

21330321233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258705 (or 258698 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21330321233100 its reverse (133212303312), we get a palindrome (21463533536412).

The spelling of 21330321233100 in words is "twenty-one trillion, three hundred thirty billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred".