122201012210200 has 576 divisors, whose sum is σ = 371678123577600. Its totient is φ = 36296511820800.

The previous prime is 122201012210099. The next prime is 122201012210213. The reversal of 122201012210200 is 2012210102221.

It is a happy number.

122201012210200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2191407519 + ... + 2191463281.

It is an arithmetic number, because the mean of its divisors is an integer number (645274520100).

Almost surely, 2^{122201012210200} is an apocalyptic number.

122201012210200 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 122201012210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185839061788800).

122201012210200 is an abundant number, since it is smaller than the sum of its proper divisors (249477111367400).

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

122201012210200 is a wasteful number, since it uses less digits than its factorization.

122201012210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56112 (or 56080 counting only the distinct ones).

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

Adding to 122201012210200 its reverse (2012210102221), we get a palindrome (124213222312421).

The spelling of 122201012210200 in words is "one hundred twenty-two trillion, two hundred one billion, twelve million, two hundred ten thousand, two hundred".