100100100110993 has 2 divisors, whose sum is σ = 100100100110994. Its totient is φ = 100100100110992.

The previous prime is 100100100110861. The next prime is 100100100111013. The reversal of 100100100110993 is 399011001001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95141920581184 + 4958179529809 = 9754072^2 + 2226697^2 .

It is an emirp because it is prime and its reverse (399011001001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100100110993 - 2²⁶ = 100100033002129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100100110693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050055496 + 50050050055497.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050055497).

Almost surely, 2^{100100100110993} is an apocalyptic number.

It is an amenable number.

100100100110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100110993 is an equidigital number, since it uses as much as digits as its factorization.

100100100110993 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 100100100110993 its reverse (399011001001001), we get a palindrome (499111101111994).

The spelling of 100100100110993 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred ten thousand, nine hundred ninety-three".