101322012321 has 20 divisors (see below), whose sum is σ = 151509507732. Its totient is φ = 67480203168.

The previous prime is 101322012317. The next prime is 101322012331. The reversal of 101322012321 is 123210223101.

101322012321 is a `hidden beast` number, since 10 + 1 + 322 + 0 + 12 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65953944225 + 35368068096 = 256815^2 + 188064^2 .

It is not a de Polignac number, because 101322012321 - 2² = 101322012317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101322012294 and 101322012303.

It is not an unprimeable number, because it can be changed into a prime (101322012331) 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 19 ways as a sum of consecutive naturals, for example, 546570 + ... + 708083.

Almost surely, 2^101322012321 is an apocalyptic number.

It is an amenable number.

101322012321 is a deficient number, since it is larger than the sum of its proper divisors (50187495411).

101322012321 is an equidigital number, since it uses as much as digits as its factorization.

101322012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255662 (or 1255653 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101322012321 its reverse (123210223101), we get a palindrome (224532235422).

The spelling of 101322012321 in words is "one hundred one billion, three hundred twenty-two million, twelve thousand, three hundred twenty-one".