1001003122231 has 16 divisors (see below), whose sum is σ = 1154285073216. Its totient is φ = 850325446656.

The previous prime is 1001003122181. The next prime is 1001003122261. The reversal of 1001003122231 is 1322213001001.

It is not a de Polignac number, because 1001003122231 - 2⁷ = 1001003122103 is a prime.

It is a super-2 number, since 2×1001003122231² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001003122261) 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, 1057836 + ... + 1766641.

It is an arithmetic number, because the mean of its divisors is an integer number (72142817076).

Almost surely, 2^{1001003122231} is an apocalyptic number.

1001003122231 is a deficient number, since it is larger than the sum of its proper divisors (153281950985).

1001003122231 is a wasteful number, since it uses less digits than its factorization.

1001003122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824938.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001003122231 its reverse (1322213001001), we get a palindrome (2323216123232).

The spelling of 1001003122231 in words is "one trillion, one billion, three million, one hundred twenty-two thousand, two hundred thirty-one".