101100321 has 24 divisors (see below), whose sum is σ = 167161280. Its totient is φ = 57679776.

The previous prime is 101100313. The next prime is 101100361. The reversal of 101100321 is 123001101.

It is not a de Polignac number, because 101100321 - 2³ = 101100313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100361) 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 23 ways as a sum of consecutive naturals, for example, 70035 + ... + 71463.

Almost surely, 2^101100321 is an apocalyptic number.

It is an amenable number.

101100321 is a deficient number, since it is larger than the sum of its proper divisors (66060959).

101100321 is a wasteful number, since it uses less digits than its factorization.

101100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101100321 is about 10054.8655386335. The cubic root of 101100321 is about 465.8550898072.

Adding to 101100321 its reverse (123001101), we get a palindrome (224101422).

The spelling of 101100321 in words is "one hundred one million, one hundred thousand, three hundred twenty-one".