12001002100 has 144 divisors (see below), whose sum is σ = 29704098816. Its totient is φ = 4181760000.

The previous prime is 12001002089. The next prime is 12001002107. The reversal of 12001002100 is 120010021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001002107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207150 + ... + 1217050.

It is an arithmetic number, because the mean of its divisors is an integer number (206278464).

Almost surely, 2^12001002100 is an apocalyptic number.

12001002100 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 12001002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852049408).

12001002100 is an abundant number, since it is smaller than the sum of its proper divisors (17703096716).

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

12001002100 is a wasteful number, since it uses less digits than its factorization.

12001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12001002100 its reverse (120010021), we get a palindrome (12121012121).

12001002100 divided by its reverse (120010021) gives a square (100 = 10²).

The spelling of 12001002100 in words is "twelve billion, one million, two thousand, one hundred".