1001323121001 has 16 divisors (see below), whose sum is σ = 1525993507200. Its totient is φ = 572121715968.

The previous prime is 1001323120999. The next prime is 1001323121069. The reversal of 1001323121001 is 1001213231001.

It is a happy number.

It is not a de Polignac number, because 1001323121001 - 2¹ = 1001323120999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001323121801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426016 + ... + 2808593.

It is an arithmetic number, because the mean of its divisors is an integer number (95374594200).

Almost surely, 2^{1001323121001} is an apocalyptic number.

It is an amenable number.

1001323121001 is a deficient number, since it is larger than the sum of its proper divisors (524670386199).

1001323121001 is an equidigital number, since it uses as much as digits as its factorization.

1001323121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243728.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001323121001 its reverse (1001213231001), we get a palindrome (2002536352002).

The spelling of 1001323121001 in words is "one trillion, one billion, three hundred twenty-three million, one hundred twenty-one thousand, one".