1000110100093 has 16 divisors (see below), whose sum is σ = 1079540358400. Its totient is φ = 921037449024.

The previous prime is 1000110100063. The next prime is 1000110100139. The reversal of 1000110100093 is 3900010110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000110100093 - 2⁹ = 1000110099581 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 (1000110100043) 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 15 ways as a sum of consecutive naturals, for example, 60777655 + ... + 60794107.

It is an arithmetic number, because the mean of its divisors is an integer number (67471272400).

Almost surely, 2^{1000110100093} is an apocalyptic number.

1000110100093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000110100093 is a deficient number, since it is larger than the sum of its proper divisors (79430258307).

1000110100093 is a wasteful number, since it uses less digits than its factorization.

1000110100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27028.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1000110100093 its reverse (3900010110001), we get a palindrome (4900120210094).

The spelling of 1000110100093 in words is "one trillion, one hundred ten million, one hundred thousand, ninety-three".