12100132100 has 144 divisors (see below), whose sum is σ = 31385491200. Its totient is φ = 3959070720.

The previous prime is 12100132069. The next prime is 12100132111. The reversal of 12100132100 is 123100121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13024436 + ... + 13025364.

It is an arithmetic number, because the mean of its divisors is an integer number (217954800).

Almost surely, 2^12100132100 is an apocalyptic number.

12100132100 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 12100132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692745600).

12100132100 is an abundant number, since it is smaller than the sum of its proper divisors (19285359100).

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

12100132100 is a wasteful number, since it uses less digits than its factorization.

12100132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12100132100 its reverse (123100121), we get a palindrome (12223232221).

The spelling of 12100132100 in words is "twelve billion, one hundred million, one hundred thirty-two thousand, one hundred".