110001010011093 has 24 divisors (see below), whose sum is σ = 159394217208408. Its totient is φ = 73101459220992.

The previous prime is 110001010011029. The next prime is 110001010011181. The reversal of 110001010011093 is 390110010100011.

It can be written as a sum of positive squares in 4 ways, for example, as 11104309929969 + 98896700081124 = 3332313^2 + 9944682^2 .

It is not a de Polignac number, because 110001010011093 - 2⁶ = 110001010011029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001010015093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192511905 + ... + 193082457.

It is an arithmetic number, because the mean of its divisors is an integer number (6641425717017).

Almost surely, 2^{110001010011093} is an apocalyptic number.

It is an amenable number.

110001010011093 is a deficient number, since it is larger than the sum of its proper divisors (49393207197315).

110001010011093 is a wasteful number, since it uses less digits than its factorization.

110001010011093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638453 (or 638450 counting only the distinct ones).

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

The spelling of 110001010011093 in words is "one hundred ten trillion, one billion, ten million, eleven thousand, ninety-three".