21222100200 has 384 divisors, whose sum is σ = 77485040640. Its totient is φ = 4704000000.

The previous prime is 21222100183. The next prime is 21222100223. The reversal of 21222100200 is 200122212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 43221955 + ... + 43222445.

It is an arithmetic number, because the mean of its divisors is an integer number (201783960).

Almost surely, 2^21222100200 is an apocalyptic number.

21222100200 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 21222100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38742520320).

21222100200 is an abundant number, since it is smaller than the sum of its proper divisors (56262940440).

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

21222100200 is a wasteful number, since it uses less digits than its factorization.

21222100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21222100200 its reverse (200122212), we get a palindrome (21422222412).

The spelling of 21222100200 in words is "twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred".