12002003322100 has 108 divisors (see below), whose sum is σ = 28755637493632. Its totient is φ = 4344792724800.

The previous prime is 12002003322073. The next prime is 12002003322107. The reversal of 12002003322100 is 122330020021.

12002003322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002003322107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474307 + ... + 4922293.

Almost surely, 2^{12002003322100} is an apocalyptic number.

12002003322100 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 12002003322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377818746816).

12002003322100 is an abundant number, since it is smaller than the sum of its proper divisors (16753634171532).

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

12002003322100 is a wasteful number, since it uses less digits than its factorization.

12002003322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448246 (or 4448228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12002003322100 its reverse (122330020021), we get a palindrome (12124333342121).

The spelling of 12002003322100 in words is "twelve trillion, two billion, three million, three hundred twenty-two thousand, one hundred".