2202121102200 has 192 divisors, whose sum is σ = 6878743884000. Its totient is φ = 582761840640.

The previous prime is 2202121102187. The next prime is 2202121102211. The reversal of 2202121102200 is 22011212022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202121102200.

It is a congruent 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, 41453256 + ... + 41506344.

Almost surely, 2^{2202121102200} is an apocalyptic number.

2202121102200 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 2202121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439371942000).

2202121102200 is an abundant number, since it is smaller than the sum of its proper divisors (4676622781800).

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

2202121102200 is a wasteful number, since it uses less digits than its factorization.

2202121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53634 (or 53625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2202121102200 its reverse (22011212022), we get a palindrome (2224132314222).

The spelling of 2202121102200 in words is "two trillion, two hundred two billion, one hundred twenty-one million, one hundred two thousand, two hundred".