1110010100093 has 8 divisors (see below), whose sum is σ = 1111636460760. Its totient is φ = 1108383912000.

The previous prime is 1110010100053. The next prime is 1110010100197. The reversal of 1110010100093 is 3900010100111.

It can be written as a sum of positive squares in 4 ways, for example, as 3857279449 + 1106152820644 = 62107^2 + 1051738^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1110010100093 - 2¹⁸ = 1110009837949 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 (1110010100053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18759671 + ... + 18818747.

It is an arithmetic number, because the mean of its divisors is an integer number (138954557595).

Almost surely, 2^{1110010100093} is an apocalyptic number.

It is an amenable number.

1110010100093 is a deficient number, since it is larger than the sum of its proper divisors (1626360667).

1110010100093 is an equidigital number, since it uses as much as digits as its factorization.

1110010100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86287.

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 1110010100093 in words is "one trillion, one hundred ten billion, ten million, one hundred thousand, ninety-three".