100001100110993 has 2 divisors, whose sum is σ = 100001100110994. Its totient is φ = 100001100110992.

The previous prime is 100001100110981. The next prime is 100001100111041. The reversal of 100001100110993 is 399011001100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90584100634624 + 9416999476369 = 9517568^2 + 3068713^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001100110993 - 2¹⁰ = 100001100109969 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001100110963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550055496 + 50000550055497.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550055497).

Almost surely, 2^{100001100110993} is an apocalyptic number.

It is an amenable number.

100001100110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001100110993 is an equidigital number, since it uses as much as digits as its factorization.

100001100110993 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 26.

Adding to 100001100110993 its reverse (399011001100001), we get a palindrome (499012101210994).

The spelling of 100001100110993 in words is "one hundred trillion, one billion, one hundred million, one hundred ten thousand, nine hundred ninety-three".