101221103321 has 16 divisors (see below), whose sum is σ = 111575306304. Its totient is φ = 91235035584.

The previous prime is 101221103293. The next prime is 101221103363. The reversal of 101221103321 is 123301122101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221103321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221103321.

It is not an unprimeable number, because it can be changed into a prime (101221106321) 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 15 ways as a sum of consecutive naturals, for example, 2008190 + ... + 2057976.

It is an arithmetic number, because the mean of its divisors is an integer number (6973456644).

Almost surely, 2^101221103321 is an apocalyptic number.

It is an amenable number.

101221103321 is a deficient number, since it is larger than the sum of its proper divisors (10354202983).

101221103321 is a wasteful number, since it uses less digits than its factorization.

101221103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53480.

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

Adding to 101221103321 its reverse (123301122101), we get a palindrome (224522225422).

The spelling of 101221103321 in words is "one hundred one billion, two hundred twenty-one million, one hundred three thousand, three hundred twenty-one".