21110313233200 has 120 divisors (see below), whose sum is σ = 51085829828880. Its totient is φ = 8382962688000.

The previous prime is 21110313233167. The next prime is 21110313233231. The reversal of 21110313233200 is 233231301112.

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, 42786312 + ... + 43276888.

It is an arithmetic number, because the mean of its divisors is an integer number (425715248574).

Almost surely, 2^{21110313233200} is an apocalyptic number.

21110313233200 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 21110313233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25542914914440).

21110313233200 is an abundant number, since it is smaller than the sum of its proper divisors (29975516595680).

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

21110313233200 is a wasteful number, since it uses less digits than its factorization.

21110313233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491375 (or 491364 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21110313233200 its reverse (233231301112), we get a palindrome (21343544534312).

The spelling of 21110313233200 in words is "twenty-one trillion, one hundred ten billion, three hundred thirteen million, two hundred thirty-three thousand, two hundred".