100320112321 has 16 divisors (see below), whose sum is σ = 117867794688. Its totient is φ = 84178137600.

The previous prime is 100320112307. The next prime is 100320112363. The reversal of 100320112321 is 123211023001.

It is a cyclic number.

It is not a de Polignac number, because 100320112321 - 2⁵ = 100320112289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100320112295 and 100320112304.

It is not an unprimeable number, because it can be changed into a prime (100320112381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904465 + ... + 2938801.

It is an arithmetic number, because the mean of its divisors is an integer number (7366737168).

Almost surely, 2^100320112321 is an apocalyptic number.

100320112321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100320112321 is a deficient number, since it is larger than the sum of its proper divisors (17547682367).

100320112321 is a wasteful number, since it uses less digits than its factorization.

100320112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54792.

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

Adding to 100320112321 its reverse (123211023001), we get a palindrome (223531135322).

The spelling of 100320112321 in words is "one hundred billion, three hundred twenty million, one hundred twelve thousand, three hundred twenty-one".