12102221200100 has 18 divisors (see below), whose sum is σ = 26261820004434. Its totient is φ = 4840888480000.

The previous prime is 12102221200061. The next prime is 12102221200177. The reversal of 12102221200100 is 100212220121.

It can be written as a sum of positive squares in 3 ways, for example, as 2869337863744 + 9232883336356 = 1693912^2 + 3038566^2 .

It is a super-2 number, since 2×12102221200100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60511105901 + ... + 60511106100.

Almost surely, 2^{12102221200100} is an apocalyptic number.

12102221200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102221200100 is an abundant number, since it is smaller than the sum of its proper divisors (14159598804334).

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

12102221200100 is a wasteful number, since it uses less digits than its factorization.

12102221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121022212015 (or 121022212008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102221200100 its reverse (100212220121), we get a palindrome (12202433420221).

The spelling of 12102221200100 in words is "twelve trillion, one hundred two billion, two hundred twenty-one million, two hundred thousand, one hundred".