12102112100 has 36 divisors (see below), whose sum is σ = 28281708084. Its totient is φ = 4468471680.

The previous prime is 12102112069. The next prime is 12102112151. The reversal of 12102112100 is 121120121.

12102112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 733434724 + 11368677376 = 27082^2 + 106624^2 .

It is a super-2 number, since 2×12102112100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4653359 + ... + 4655958.

Almost surely, 2^12102112100 is an apocalyptic number.

12102112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102112100 is an abundant number, since it is smaller than the sum of its proper divisors (16179595984).

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

12102112100 is a wasteful number, since it uses less digits than its factorization.

12102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309344 (or 9309337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12102112100 its reverse (121120121), we get a palindrome (12223232221).

The spelling of 12102112100 in words is "twelve billion, one hundred two million, one hundred twelve thousand, one hundred".