122202001100200 has 288 divisors, whose sum is σ = 345771290471040. Its totient is φ = 40006223846400.

The previous prime is 122202001100177. The next prime is 122202001100219. The reversal of 122202001100200 is 2001100202221.

It is a happy number.

122202001100200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15649107 + ... + 22120093.

It is an arithmetic number, because the mean of its divisors is an integer number (1200594758580).

Almost surely, 2^{122202001100200} is an apocalyptic number.

122202001100200 is a gapful number since it is divisible by the number (10) 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 122202001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172885645235520).

122202001100200 is an abundant number, since it is smaller than the sum of its proper divisors (223569289370840).

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

122202001100200 is a wasteful number, since it uses less digits than its factorization.

122202001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471105 (or 6471089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122202001100200 its reverse (2001100202221), we get a palindrome (124203101302421).

The spelling of 122202001100200 in words is "one hundred twenty-two trillion, two hundred two billion, one million, one hundred thousand, two hundred".