101000111321 has 8 divisors (see below), whose sum is σ = 101535807360. Its totient is φ = 100465831728.

The previous prime is 101000111299. The next prime is 101000111389. The reversal of 101000111321 is 123111000101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101000111321 - 2¹⁰ = 101000110297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000113321) 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 7 ways as a sum of consecutive naturals, for example, 210971 + ... + 496496.

It is an arithmetic number, because the mean of its divisors is an integer number (12691975920).

Almost surely, 2^101000111321 is an apocalyptic number.

It is an amenable number.

101000111321 is a deficient number, since it is larger than the sum of its proper divisors (535696039).

101000111321 is an equidigital number, since it uses as much as digits as its factorization.

101000111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708223.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101000111321 its reverse (123111000101), we get a palindrome (224111111422).

The spelling of 101000111321 in words is "one hundred one billion, one hundred eleven thousand, three hundred twenty-one".