101322322321 has 8 divisors (see below), whose sum is σ = 110667108384. Its totient is φ = 91999813920.

The previous prime is 101322322271. The next prime is 101322322327. The reversal of 101322322321 is 123223223101.

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 101322322321 - 2¹⁵ = 101322289553 is a prime.

It is a super-2 number, since 2×101322322321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101322322292 and 101322322301.

It is not an unprimeable number, because it can be changed into a prime (101322322327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5559900 + ... + 5578093.

It is an arithmetic number, because the mean of its divisors is an integer number (13833388548).

Almost surely, 2^101322322321 is an apocalyptic number.

101322322321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101322322321 is a deficient number, since it is larger than the sum of its proper divisors (9344786063).

101322322321 is a wasteful number, since it uses less digits than its factorization.

101322322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138831.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101322322321 its reverse (123223223101), we get a palindrome (224545545422).

The spelling of 101322322321 in words is "one hundred one billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred twenty-one".