122201300002100 has 144 divisors (see below), whose sum is σ = 294790183470720. Its totient is φ = 43591276684800.

The previous prime is 122201300002097. The next prime is 122201300002121. The reversal of 122201300002100 is 1200003102221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 362982449 + ... + 363318951.

It is an arithmetic number, because the mean of its divisors is an integer number (2047154051880).

Almost surely, 2^{122201300002100} is an apocalyptic number.

122201300002100 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 122201300002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147395091735360).

122201300002100 is an abundant number, since it is smaller than the sum of its proper divisors (172588883468620).

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

122201300002100 is a wasteful number, since it uses less digits than its factorization.

122201300002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342810 (or 342803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122201300002100 its reverse (1200003102221), we get a palindrome (123401303104321).

The spelling of 122201300002100 in words is "one hundred twenty-two trillion, two hundred one billion, three hundred million, two thousand, one hundred".