122200121202100 has 18 divisors (see below), whose sum is σ = 265174263008774. Its totient is φ = 48880048480800.

The previous prime is 122200121202079. The next prime is 122200121202161. The reversal of 122200121202100 is 1202121002221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 317947121424 + 121882174080676 = 563868^2 + 11040026^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611000605911 + ... + 611000606110.

Almost surely, 2^{122200121202100} is an apocalyptic number.

122200121202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200121202100 is an abundant number, since it is smaller than the sum of its proper divisors (142974141806674).

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

122200121202100 is a wasteful number, since it uses less digits than its factorization.

122200121202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222001212035 (or 1222001212028 counting only the distinct ones).

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

Adding to 122200121202100 its reverse (1202121002221), we get a palindrome (123402242204321).

The spelling of 122200121202100 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twenty-one million, two hundred two thousand, one hundred".