105111221321 has 2 divisors, whose sum is σ = 105111221322. Its totient is φ = 105111221320.

The previous prime is 105111221309. The next prime is 105111221339. The reversal of 105111221321 is 123122111501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67568283721 + 37542937600 = 259939^2 + 193760^2 .

It is an emirp because it is prime and its reverse (123122111501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105111221321 - 2¹⁴ = 105111204937 is a prime.

It is a super-2 number, since 2×105111221321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105111221293 and 105111221302.

It is not a weakly prime, because it can be changed into another prime (105111224321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555610660 + 52555610661.

It is an arithmetic number, because the mean of its divisors is an integer number (52555610661).

Almost surely, 2^105111221321 is an apocalyptic number.

It is an amenable number.

105111221321 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111221321 is an equidigital number, since it uses as much as digits as its factorization.

105111221321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 105111221321 its reverse (123122111501), we get a palindrome (228233332822).

The spelling of 105111221321 in words is "one hundred five billion, one hundred eleven million, two hundred twenty-one thousand, three hundred twenty-one".