101008996358393 has 2 divisors, whose sum is σ = 101008996358394. Its totient is φ = 101008996358392.

The previous prime is 101008996358381. The next prime is 101008996358419. The reversal of 101008996358393 is 393853699800101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83800329679504 + 17208666678889 = 9154252^2 + 4148333^2 .

It is a cyclic number.

It is not a de Polignac number, because 101008996358393 - 2¹⁰ = 101008996357369 is a prime.

It is not a weakly prime, because it can be changed into another prime (101008996358593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50504498179196 + 50504498179197.

It is an arithmetic number, because the mean of its divisors is an integer number (50504498179197).

Almost surely, 2^{101008996358393} is an apocalyptic number.

It is an amenable number.

101008996358393 is a deficient number, since it is larger than the sum of its proper divisors (1).

101008996358393 is an equidigital number, since it uses as much as digits as its factorization.

101008996358393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37791360, while the sum is 65.

The spelling of 101008996358393 in words is "one hundred one trillion, eight billion, nine hundred ninety-six million, three hundred fifty-eight thousand, three hundred ninety-three".