101321223109993 has 2 divisors, whose sum is σ = 101321223109994. Its totient is φ = 101321223109992.

The previous prime is 101321223109991. The next prime is 101321223110071. The reversal of 101321223109993 is 399901322123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101298528290089 + 22694819904 = 10064717^2 + 150648^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321223109993 - 2¹ = 101321223109991 is a prime.

Together with 101321223109991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101321223109991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660611554996 + 50660611554997.

It is an arithmetic number, because the mean of its divisors is an integer number (50660611554997).

Almost surely, 2^{101321223109993} is an apocalyptic number.

It is an amenable number.

101321223109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321223109993 is an equidigital number, since it uses as much as digits as its factorization.

101321223109993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 101321223109993 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-three million, one hundred nine thousand, nine hundred ninety-three".