12102222102100 has 72 divisors (see below), whose sum is σ = 28288884386840. Its totient is φ = 4467419066880.

The previous prime is 12102222102053. The next prime is 12102222102121. The reversal of 12102222102100 is 120122220121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3921089070276 + 8181133031824 = 1980174^2 + 2860268^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4183666 + ... + 6458134.

Almost surely, 2^{12102222102100} is an apocalyptic number.

12102222102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102222102100 is an abundant number, since it is smaller than the sum of its proper divisors (16186662284740).

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

12102222102100 is a wasteful number, since it uses less digits than its factorization.

12102222102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278589 (or 2278582 counting only the distinct ones).

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

Adding to 12102222102100 its reverse (120122220121), we get a palindrome (12222344322221).

The spelling of 12102222102100 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, one hundred two thousand, one hundred".