12001202100 has 108 divisors (see below), whose sum is σ = 37651446924. Its totient is φ = 3197399040.

The previous prime is 12001202099. The next prime is 12001202111. The reversal of 12001202100 is 120210021.

It can be written as a sum of positive squares in 6 ways, for example, as 319051044 + 11682151056 = 17862^2 + 108084^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1089822 + ... + 1100778.

Almost surely, 2^12001202100 is an apocalyptic number.

12001202100 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 12001202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825723462).

12001202100 is an abundant number, since it is smaller than the sum of its proper divisors (25650244824).

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

12001202100 is a wasteful number, since it uses less digits than its factorization.

12001202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001202100 its reverse (120210021), we get a palindrome (12121412121).

The spelling of 12001202100 in words is "twelve billion, one million, two hundred two thousand, one hundred".