100001122321 has 4 divisors (see below), whose sum is σ = 101640485044. Its totient is φ = 98361759600.

The previous prime is 100001122307. The next prime is 100001122339. The reversal of 100001122321 is 123221100001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123221100001 = 53897 ⋅2286233.

It can be written as a sum of positive squares in 2 ways, for example, as 23970780625 + 76030341696 = 154825^2 + 275736^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001122321 - 2¹¹ = 100001120273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001122391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819681270 + ... + 819681391.

It is an arithmetic number, because the mean of its divisors is an integer number (25410121261).

Almost surely, 2^100001122321 is an apocalyptic number.

It is an amenable number.

100001122321 is a deficient number, since it is larger than the sum of its proper divisors (1639362723).

100001122321 is an equidigital number, since it uses as much as digits as its factorization.

100001122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639362722.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100001122321 its reverse (123221100001), we get a palindrome (223222222322).

The spelling of 100001122321 in words is "one hundred billion, one million, one hundred twenty-two thousand, three hundred twenty-one".