2101321101329 has 2 divisors, whose sum is σ = 2101321101330. Its totient is φ = 2101321101328.

The previous prime is 2101321101293. The next prime is 2101321101331. The reversal of 2101321101329 is 9231011231012.

Together with previous prime (2101321101293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1578671628304 + 522649473025 = 1256452^2 + 722945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101321101329 - 2⁸ = 2101321101073 is a prime.

It is a Sophie Germain prime.

Together with 2101321101331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101321101298 and 2101321101307.

It is not a weakly prime, because it can be changed into another prime (2101321181329) 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, 1050660550664 + 1050660550665.

It is an arithmetic number, because the mean of its divisors is an integer number (1050660550665).

Almost surely, 2^{2101321101329} is an apocalyptic number.

It is an amenable number.

2101321101329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101321101329 is an equidigital number, since it uses as much as digits as its factorization.

2101321101329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 2101321101329 in words is "two trillion, one hundred one billion, three hundred twenty-one million, one hundred one thousand, three hundred twenty-nine".