21202121220200 has 192 divisors, whose sum is σ = 53124405534720. Its totient is φ = 7846454880000.

The previous prime is 21202121220193. The next prime is 21202121220289. The reversal of 21202121220200 is 202212120212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289013525 + ... + 289086875.

It is an arithmetic number, because the mean of its divisors is an integer number (276689612160).

Almost surely, 2^{21202121220200} is an apocalyptic number.

21202121220200 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 21202121220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562202767360).

21202121220200 is an abundant number, since it is smaller than the sum of its proper divisors (31922284314520).

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

21202121220200 is a wasteful number, since it uses less digits than its factorization.

21202121220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75448 (or 75439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21202121220200 its reverse (202212120212), we get a palindrome (21404333340412).

The spelling of 21202121220200 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".