12032010100 has 216 divisors, whose sum is σ = 31450408920. Its totient is φ = 3973939200.

The previous prime is 12032010097. The next prime is 12032010121. The reversal of 12032010100 is 101023021.

It can be written as a sum of positive squares in 12 ways, for example, as 401681764 + 11630328336 = 20042^2 + 107844^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 71 ways as a sum of consecutive naturals, for example, 5964292 + ... + 5966308.

It is an arithmetic number, because the mean of its divisors is an integer number (145603745).

Almost surely, 2^12032010100 is an apocalyptic number.

12032010100 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 12032010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725204460).

12032010100 is an abundant number, since it is smaller than the sum of its proper divisors (19418398820).

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

12032010100 is a wasteful number, since it uses less digits than its factorization.

12032010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12032010100 its reverse (101023021), we get a palindrome (12133033121).

The spelling of 12032010100 in words is "twelve billion, thirty-two million, ten thousand, one hundred".