1321101103121 has 2 divisors, whose sum is σ = 1321101103122. Its totient is φ = 1321101103120.

The previous prime is 1321101103117. The next prime is 1321101103169. The reversal of 1321101103121 is 1213011011231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1300238478400 + 20862624721 = 1140280^2 + 144439^2 .

It is an emirp because it is prime and its reverse (1213011011231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1321101103121 - 2² = 1321101103117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1321101103121.

It is not a weakly prime, because it can be changed into another prime (1321101103111) 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, 660550551560 + 660550551561.

It is an arithmetic number, because the mean of its divisors is an integer number (660550551561).

Almost surely, 2^{1321101103121} is an apocalyptic number.

It is an amenable number.

1321101103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321101103121 is an equidigital number, since it uses as much as digits as its factorization.

1321101103121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1321101103121 its reverse (1213011011231), we get a palindrome (2534112114352).

The spelling of 1321101103121 in words is "one trillion, three hundred twenty-one billion, one hundred one million, one hundred three thousand, one hundred twenty-one".