100993032363037 has 2 divisors, whose sum is σ = 100993032363038. Its totient is φ = 100993032363036.

The previous prime is 100993032362953. The next prime is 100993032363049. The reversal of 100993032363037 is 730363230399001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89898197509156 + 11094834853881 = 9481466^2 + 3330891^2 .

It is an emirp because it is prime and its reverse (730363230399001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100993032363037 - 2¹⁵ = 100993032330269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100993032363637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50496516181518 + 50496516181519.

It is an arithmetic number, because the mean of its divisors is an integer number (50496516181519).

Almost surely, 2^{100993032363037} is an apocalyptic number.

It is an amenable number.

100993032363037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100993032363037 is an equidigital number, since it uses as much as digits as its factorization.

100993032363037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1653372, while the sum is 49.

The spelling of 100993032363037 in words is "one hundred trillion, nine hundred ninety-three billion, thirty-two million, three hundred sixty-three thousand, thirty-seven".