12432102100 has 72 divisors (see below), whose sum is σ = 29449740096. Its totient is φ = 4517760000.

The previous prime is 12432102077. The next prime is 12432102103. The reversal of 12432102100 is 120123421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2286385 + ... + 2291815.

It is an arithmetic number, because the mean of its divisors is an integer number (409024168).

Almost surely, 2^12432102100 is an apocalyptic number.

12432102100 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 12432102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724870048).

12432102100 is an abundant number, since it is smaller than the sum of its proper divisors (17017637996).

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

12432102100 is a wasteful number, since it uses less digits than its factorization.

12432102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12432102100 its reverse (120123421), we get a palindrome (12552225521).

The spelling of 12432102100 in words is "twelve billion, four hundred thirty-two million, one hundred two thousand, one hundred".