110001010001003 has 16 divisors (see below), whose sum is σ = 120151233038592. Its totient is φ = 99875813292000.

The previous prime is 110001010000993. The next prime is 110001010001009. The reversal of 110001010001003 is 300100010100011.

It is a cyclic number.

It is not a de Polignac number, because 110001010001003 - 2³⁰ = 109999936259179 is a prime.

It is a super-2 number, since 2×110001010001003² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001010001009) 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 15 ways as a sum of consecutive naturals, for example, 972448418 + ... + 972561528.

It is an arithmetic number, because the mean of its divisors is an integer number (7509452064912).

Almost surely, 2^{110001010001003} is an apocalyptic number.

110001010001003 is a deficient number, since it is larger than the sum of its proper divisors (10150223037589).

110001010001003 is a wasteful number, since it uses less digits than its factorization.

110001010001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222946.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 110001010001003 its reverse (300100010100011), we get a palindrome (410101020101014).

The spelling of 110001010001003 in words is "one hundred ten trillion, one billion, ten million, one thousand, three".