110001100101093 has 10 divisors (see below), whose sum is σ = 164322631015334. Its totient is φ = 73334066734008.

The previous prime is 110001100101071. The next prime is 110001100101107. The reversal of 110001100101093 is 390101001100011.

It can be written as a sum of positive squares in only one way, i.e., 92453186406564 + 17547913694529 = 9615258^2 + 4189023^2 .

It is not a de Polignac number, because 110001100101093 - 2¹² = 110001100096997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001100101293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 679019136346 + ... + 679019136507.

Almost surely, 2^{110001100101093} is an apocalyptic number.

It is an amenable number.

110001100101093 is a deficient number, since it is larger than the sum of its proper divisors (54321530914241).

110001100101093 is an equidigital number, since it uses as much as digits as its factorization.

110001100101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358038272865 (or 1358038272856 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 110001100101093 in words is "one hundred ten trillion, one billion, one hundred million, one hundred one thousand, ninety-three".