12100122321 has 64 divisors (see below), whose sum is σ = 19577794560. Its totient is φ = 6503535360.

The previous prime is 12100122311. The next prime is 12100122323. The reversal of 12100122321 is 12322100121.

12100122321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100122321 - 2⁶ = 12100122257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12100122321.

It is not an unprimeable number, because it can be changed into a prime (12100122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2794260 + ... + 2798586.

It is an arithmetic number, because the mean of its divisors is an integer number (305903040).

Almost surely, 2^12100122321 is an apocalyptic number.

It is an amenable number.

12100122321 is a deficient number, since it is larger than the sum of its proper divisors (7477672239).

12100122321 is a wasteful number, since it uses less digits than its factorization.

12100122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12100122321 its reverse (12322100121), we get a palindrome (24422222442).

It can be divided in two parts, 12100 and 122321, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 12100122321 in words is "twelve billion, one hundred million, one hundred twenty-two thousand, three hundred twenty-one".