1001012112321 has 8 divisors (see below), whose sum is σ = 1437350725440. Its totient is φ = 616007453712.

The previous prime is 1001012112283. The next prime is 1001012112341. The reversal of 1001012112321 is 1232112101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001012112321 - 2¹⁵ = 1001012079553 is a prime.

It is a super-3 number, since 3×1001012112321³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001012112321.

It is not an unprimeable number, because it can be changed into a prime (1001012112341) 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 7 ways as a sum of consecutive naturals, for example, 12833488581 + ... + 12833488658.

It is an arithmetic number, because the mean of its divisors is an integer number (179668840680).

Almost surely, 2^{1001012112321} is an apocalyptic number.

It is an amenable number.

1001012112321 is a deficient number, since it is larger than the sum of its proper divisors (436338613119).

1001012112321 is a wasteful number, since it uses less digits than its factorization.

1001012112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25666977255.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1001012112321 its reverse (1232112101001), we get a palindrome (2233124213322).

The spelling of 1001012112321 in words is "one trillion, one billion, twelve million, one hundred twelve thousand, three hundred twenty-one".