100009993822393 has 2 divisors, whose sum is σ = 100009993822394. Its totient is φ = 100009993822392.

The previous prime is 100009993822313. The next prime is 100009993822399. The reversal of 100009993822393 is 393228399900001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94005376835769 + 6004616986624 = 9695637^2 + 2450432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100009993822393 is a prime.

It is not a weakly prime, because it can be changed into another prime (100009993822399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004996911196 + 50004996911197.

It is an arithmetic number, because the mean of its divisors is an integer number (50004996911197).

Almost surely, 2^{100009993822393} is an apocalyptic number.

It is an amenable number.

100009993822393 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009993822393 is an equidigital number, since it uses as much as digits as its factorization.

100009993822393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5668704, while the sum is 58.

The spelling of 100009993822393 in words is "one hundred trillion, nine billion, nine hundred ninety-three million, eight hundred twenty-two thousand, three hundred ninety-three".