12002002212100 has 18 divisors (see below), whose sum is σ = 26044344800474. Its totient is φ = 4800800884800.

The previous prime is 12002002212097. The next prime is 12002002212103. The reversal of 12002002212100 is 121220020021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12002002212097) and next prime (12002002212103).

It can be written as a sum of positive squares in 3 ways, for example, as 3648401604 + 11998353810496 = 60402^2 + 3463864^2 .

It is not an unprimeable number, because it can be changed into a prime (12002002212103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 60010010961 + ... + 60010011160.

Almost surely, 2^{12002002212100} is an apocalyptic number.

12002002212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002002212100 is an abundant number, since it is smaller than the sum of its proper divisors (14042342588374).

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

12002002212100 is a wasteful number, since it uses less digits than its factorization.

12002002212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120020022135 (or 120020022128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002002212100 its reverse (121220020021), we get a palindrome (12123222232121).

The spelling of 12002002212100 in words is "twelve trillion, two billion, two million, two hundred twelve thousand, one hundred".