10110001100993 has 4 divisors (see below), whose sum is σ = 10110067953108. Its totient is φ = 10109934248880.

The previous prime is 10110001100933. The next prime is 10110001101017. The reversal of 10110001100993 is 39900110001101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2593285095424 + 7516716005569 = 1610368^2 + 2741663^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110001100993 - 2⁶ = 10110001100929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110001100933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33198698 + ... + 33501843.

It is an arithmetic number, because the mean of its divisors is an integer number (2527516988277).

Almost surely, 2^{10110001100993} is an apocalyptic number.

It is an amenable number.

10110001100993 is a deficient number, since it is larger than the sum of its proper divisors (66852115).

10110001100993 is an equidigital number, since it uses as much as digits as its factorization.

10110001100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66852114.

The product of its (nonzero) digits is 243, while the sum is 26.

The spelling of 10110001100993 in words is "ten trillion, one hundred ten billion, one million, one hundred thousand, nine hundred ninety-three".