12212002100 has 72 divisors (see below), whose sum is σ = 26916740760. Its totient is φ = 4808263680.

The previous prime is 12212002097. The next prime is 12212002147. The reversal of 12212002100 is 120021221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3533589136 + 8678412964 = 59444^2 + 93158^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4473536 + ... + 4476264.

Almost surely, 2^12212002100 is an apocalyptic number.

12212002100 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 12212002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458370380).

12212002100 is an abundant number, since it is smaller than the sum of its proper divisors (14704738660).

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

12212002100 is a wasteful number, since it uses less digits than its factorization.

12212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12212002100 its reverse (120021221), we get a palindrome (12332023321).

The spelling of 12212002100 in words is "twelve billion, two hundred twelve million, two thousand, one hundred".