10144412321 has 2 divisors, whose sum is σ = 10144412322. Its totient is φ = 10144412320.

The previous prime is 10144412293. The next prime is 10144412323. The reversal of 10144412321 is 12321444101.

10144412321 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., 5361168400 + 4783243921 = 73220^2 + 69161^2 .

It is an emirp because it is prime and its reverse (12321444101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10144412321 - 2¹⁰ = 10144411297 is a prime.

Together with 10144412323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10144412323) 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, 5072206160 + 5072206161.

It is an arithmetic number, because the mean of its divisors is an integer number (5072206161).

Almost surely, 2^10144412321 is an apocalyptic number.

It is an amenable number.

10144412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144412321 is an equidigital number, since it uses as much as digits as its factorization.

10144412321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10144412321 its reverse (12321444101), we get a palindrome (22465856422).

The spelling of 10144412321 in words is "ten billion, one hundred forty-four million, four hundred twelve thousand, three hundred twenty-one".