100516633073993 has 2 divisors, whose sum is σ = 100516633073994. Its totient is φ = 100516633073992.

The previous prime is 100516633073947. The next prime is 100516633074019. The reversal of 100516633073993 is 399370336615001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99897566245129 + 619066828864 = 9994877^2 + 786808^2 .

It is an emirp because it is prime and its reverse (399370336615001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100516633073993 - 2⁶ = 100516633073929 is a prime.

It is a super-2 number, since 2×100516633073993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100516633073093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50258316536996 + 50258316536997.

It is an arithmetic number, because the mean of its divisors is an integer number (50258316536997).

Almost surely, 2^{100516633073993} is an apocalyptic number.

It is an amenable number.

100516633073993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100516633073993 is an equidigital number, since it uses as much as digits as its factorization.

100516633073993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8266860, while the sum is 56.

Adding to 100516633073993 its reverse (399370336615001), we get a palindrome (499886969688994).

The spelling of 100516633073993 in words is "one hundred trillion, five hundred sixteen billion, six hundred thirty-three million, seventy-three thousand, nine hundred ninety-three".