100100000993 has 2 divisors, whose sum is σ = 100100000994. Its totient is φ = 100100000992.

The previous prime is 100100000989. The next prime is 100100001031. The reversal of 100100000993 is 399000001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90010200289 + 10089800704 = 300017^2 + 100448^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100000993 - 2² = 100100000989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100100000953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000496 + 50050000497.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000497).

Almost surely, 2^100100000993 is an apocalyptic number.

It is an amenable number.

100100000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000993 is an equidigital number, since it uses as much as digits as its factorization.

100100000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 100100000993 its reverse (399000001001), we get a palindrome (499100001994).

The spelling of 100100000993 in words is "one hundred billion, one hundred million, nine hundred ninety-three", and thus it is an aban number.