214014310003121 has 2 divisors, whose sum is σ = 214014310003122. Its totient is φ = 214014310003120.

The previous prime is 214014310003099. The next prime is 214014310003133. The reversal of 214014310003121 is 121300013410412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199051493490721 + 14962816512400 = 14108561^2 + 3868180^2 .

It is a cyclic number.

It is not a de Polignac number, because 214014310003121 - 2¹⁸ = 214014309740977 is a prime.

It is a super-2 number, since 2×214014310003121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214014310003141) 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 as a sum of consecutive naturals, namely, 107007155001560 + 107007155001561.

It is an arithmetic number, because the mean of its divisors is an integer number (107007155001561).

Almost surely, 2^{214014310003121} is an apocalyptic number.

It is an amenable number.

214014310003121 is a deficient number, since it is larger than the sum of its proper divisors (1).

214014310003121 is an equidigital number, since it uses as much as digits as its factorization.

214014310003121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 214014310003121 its reverse (121300013410412), we get a palindrome (335314323413533).

The spelling of 214014310003121 in words is "two hundred fourteen trillion, fourteen billion, three hundred ten million, three thousand, one hundred twenty-one".