21211012200 has 864 divisors, whose sum is σ = 85922000640. Its totient is φ = 4296499200.

The previous prime is 21211012189. The next prime is 21211012243. The reversal of 21211012200 is 221011212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 573270582 + ... + 573270618.

It is an arithmetic number, because the mean of its divisors is an integer number (99446760).

Almost surely, 2^21211012200 is an apocalyptic number.

21211012200 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 21211012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42961000320).

21211012200 is an abundant number, since it is smaller than the sum of its proper divisors (64710988440).

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

21211012200 is a wasteful number, since it uses less digits than its factorization.

21211012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21211012200 its reverse (221011212), we get a palindrome (21432023412).

It can be divided in two parts, 21211012 and 200, that added together give a palindrome (21211212).

The spelling of 21211012200 in words is "twenty-one billion, two hundred eleven million, twelve thousand, two hundred".