10121123321 has 2 divisors, whose sum is σ = 10121123322. Its totient is φ = 10121123320.

The previous prime is 10121123267. The next prime is 10121123339. The reversal of 10121123321 is 12332112101.

10121123321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9566991721 + 554131600 = 97811^2 + 23540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121123321 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10121123321.

It is not a weakly prime, because it can be changed into another prime (10121122321) 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 as a sum of consecutive naturals, namely, 5060561660 + 5060561661.

It is an arithmetic number, because the mean of its divisors is an integer number (5060561661).

Almost surely, 2^10121123321 is an apocalyptic number.

It is an amenable number.

10121123321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121123321 is an equidigital number, since it uses as much as digits as its factorization.

10121123321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10121123321 its reverse (12332112101), we get a palindrome (22453235422).

The spelling of 10121123321 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-one".