100322201320993 has 2 divisors, whose sum is σ = 100322201320994. Its totient is φ = 100322201320992.

The previous prime is 100322201320987. The next prime is 100322201321051. The reversal of 100322201320993 is 399023102223001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52493676543504 + 47828524777489 = 7245252^2 + 6915817^2 .

It is a cyclic number.

It is not a de Polignac number, because 100322201320993 - 2¹⁷ = 100322201189921 is a prime.

It is not a weakly prime, because it can be changed into another prime (100322201350993) 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, 50161100660496 + 50161100660497.

It is an arithmetic number, because the mean of its divisors is an integer number (50161100660497).

Almost surely, 2^{100322201320993} is an apocalyptic number.

It is an amenable number.

100322201320993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100322201320993 is an equidigital number, since it uses as much as digits as its factorization.

100322201320993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

Adding to 100322201320993 its reverse (399023102223001), we get a palindrome (499345303543994).

The spelling of 100322201320993 in words is "one hundred trillion, three hundred twenty-two billion, two hundred one million, three hundred twenty thousand, nine hundred ninety-three".