101421214511321 has 2 divisors, whose sum is σ = 101421214511322. Its totient is φ = 101421214511320.

The previous prime is 101421214511293. The next prime is 101421214511387. The reversal of 101421214511321 is 123115412124101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78356824059721 + 23064390451600 = 8851939^2 + 4802540^2 .

It is a cyclic number.

It is not a de Polignac number, because 101421214511321 - 2²⁶ = 101421147402457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101421214531321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50710607255660 + 50710607255661.

It is an arithmetic number, because the mean of its divisors is an integer number (50710607255661).

Almost surely, 2^{101421214511321} is an apocalyptic number.

It is an amenable number.

101421214511321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101421214511321 is an equidigital number, since it uses as much as digits as its factorization.

101421214511321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 29.

Adding to 101421214511321 its reverse (123115412124101), we get a palindrome (224536626635422).

The spelling of 101421214511321 in words is "one hundred one trillion, four hundred twenty-one billion, two hundred fourteen million, five hundred eleven thousand, three hundred twenty-one".