12001102100 has 72 divisors (see below), whose sum is σ = 28188617688. Its totient is φ = 4408588800.

The previous prime is 12001102079. The next prime is 12001102189. The reversal of 12001102100 is 120110021.

It can be written as a sum of positive squares in 12 ways, for example, as 2413167376 + 9587934724 = 49124^2 + 97918^2 .

It is a super-2 number, since 2×12001102100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232670 + ... + 279530.

It is an arithmetic number, because the mean of its divisors is an integer number (391508579).

Almost surely, 2^12001102100 is an apocalyptic number.

12001102100 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 12001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094308844).

12001102100 is an abundant number, since it is smaller than the sum of its proper divisors (16187515588).

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

12001102100 is a wasteful number, since it uses less digits than its factorization.

12001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47085 (or 47078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001102100 its reverse (120110021), we get a palindrome (12121212121).

The spelling of 12001102100 in words is "twelve billion, one million, one hundred two thousand, one hundred".