12332122101 has 40 divisors (see below), whose sum is σ = 19861574040. Its totient is φ = 7580418048.

The previous prime is 12332122079. The next prime is 12332122151. The reversal of 12332122101 is 10122123321.

12332122101 is a `hidden beast` number, since 123 + 321 + 221 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1225070001 + 11107052100 = 35001^2 + 105390^2 .

It is not a de Polignac number, because 12332122101 - 2⁷ = 12332121973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 997365 + ... + 1009653.

It is an arithmetic number, because the mean of its divisors is an integer number (496539351).

Almost surely, 2^12332122101 is an apocalyptic number.

It is an amenable number.

12332122101 is a deficient number, since it is larger than the sum of its proper divisors (7529451939).

12332122101 is a wasteful number, since it uses less digits than its factorization.

12332122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13267 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12332122101 its reverse (10122123321), we get a palindrome (22454245422).

The spelling of 12332122101 in words is "twelve billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred one".