21102211022200 has 432 divisors, whose sum is σ = 62766324260640. Its totient is φ = 6573817958400.

The previous prime is 21102211022171. The next prime is 21102211022237. The reversal of 21102211022200 is 222011220112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3074775969 + ... + 3074782831.

It is an arithmetic number, because the mean of its divisors is an integer number (145292417270).

Almost surely, 2^{21102211022200} is an apocalyptic number.

21102211022200 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 21102211022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31383162130320).

21102211022200 is an abundant number, since it is smaller than the sum of its proper divisors (41664113238440).

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

21102211022200 is a wasteful number, since it uses less digits than its factorization.

21102211022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21102211022200 its reverse (222011220112), we get a palindrome (21324222242312).

The spelling of 21102211022200 in words is "twenty-one trillion, one hundred two billion, two hundred eleven million, twenty-two thousand, two hundred".