101332022011321 has 8 divisors (see below), whose sum is σ = 104600982944000. Its totient is φ = 98063072705520.

The previous prime is 101332022011313. The next prime is 101332022011331. The reversal of 101332022011321 is 123110220233101.

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 101332022011321 - 2³ = 101332022011313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101332022011292 and 101332022011301.

It is not an unprimeable number, because it can be changed into a prime (101332022011331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16960630 + ... + 22143328.

It is an arithmetic number, because the mean of its divisors is an integer number (13075122868000).

Almost surely, 2^{101332022011321} is an apocalyptic number.

It is an amenable number.

101332022011321 is a deficient number, since it is larger than the sum of its proper divisors (3268960932679).

101332022011321 is an equidigital number, since it uses as much as digits as its factorization.

101332022011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813439.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101332022011321 its reverse (123110220233101), we get a palindrome (224442242244422).

The spelling of 101332022011321 in words is "one hundred one trillion, three hundred thirty-two billion, twenty-two million, eleven thousand, three hundred twenty-one".