21100223200 has 216 divisors, whose sum is σ = 63447626592. Its totient is φ = 6808596480.

The previous prime is 21100223173. The next prime is 21100223203. The reversal of 21100223200 is 232200112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100223203) 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 35 ways as a sum of consecutive naturals, for example, 650569 + ... + 682231.

It is an arithmetic number, because the mean of its divisors is an integer number (293739012).

Almost surely, 2^21100223200 is an apocalyptic number.

21100223200 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 21100223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31723813296).

21100223200 is an abundant number, since it is smaller than the sum of its proper divisors (42347403392).

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

21100223200 is a wasteful number, since it uses less digits than its factorization.

21100223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31714 (or 31694 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21100223200 its reverse (232200112), we get a palindrome (21332423312).

The spelling of 21100223200 in words is "twenty-one billion, one hundred million, two hundred twenty-three thousand, two hundred".