210122200122200 has 192 divisors, whose sum is σ = 510262139347200. Its totient is φ = 80317755302400.

The previous prime is 210122200122199. The next prime is 210122200122209. The reversal of 210122200122200 is 2221002221012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122200122209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38604112679 + ... + 38604118121.

It is an arithmetic number, because the mean of its divisors is an integer number (2657615309100).

Almost surely, 2^{210122200122200} is an apocalyptic number.

210122200122200 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 210122200122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255131069673600).

210122200122200 is an abundant number, since it is smaller than the sum of its proper divisors (300139939225000).

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

210122200122200 is a wasteful number, since it uses less digits than its factorization.

210122200122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962 (or 11953 counting only the distinct ones).

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

Adding to 210122200122200 its reverse (2221002221012), we get a palindrome (212343202343212).

The spelling of 210122200122200 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, two hundred".