101221031321 has 8 divisors (see below), whose sum is σ = 107592238440. Its totient is φ = 94896160768.

The previous prime is 101221031279. The next prime is 101221031341. The reversal of 101221031321 is 123130122101.

It can be written as a sum of positive squares in 4 ways, for example, as 40426732096 + 60794299225 = 201064^2 + 246565^2 .

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

It is not a de Polignac number, because 101221031321 - 2²² = 101216837017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221031321.

It is not an unprimeable number, because it can be changed into a prime (101221031341) 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, 11579636 + ... + 11588373.

It is an arithmetic number, because the mean of its divisors is an integer number (13449029805).

Almost surely, 2^101221031321 is an apocalyptic number.

It is an amenable number.

101221031321 is a deficient number, since it is larger than the sum of its proper divisors (6371207119).

101221031321 is a wasteful number, since it uses less digits than its factorization.

101221031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23168283.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101221031321 its reverse (123130122101), we get a palindrome (224351153422).

The spelling of 101221031321 in words is "one hundred one billion, two hundred twenty-one million, thirty-one thousand, three hundred twenty-one".