102001221003221 has 8 divisors (see below), whose sum is σ = 108053589802080. Its totient is φ = 96017240552688.

The previous prime is 102001221003167. The next prime is 102001221003247. The reversal of 102001221003221 is 122300122100201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102001221003221 is a prime.

It is a super-2 number, since 2×102001221003221² (a number of 29 digits) contains 22 as substring.

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 102001221003221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001221003271) 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, 17097084011 + ... + 17097089976.

It is an arithmetic number, because the mean of its divisors is an integer number (13506698725260).

Almost surely, 2^{102001221003221} is an apocalyptic number.

It is an amenable number.

102001221003221 is a deficient number, since it is larger than the sum of its proper divisors (6052368798859).

102001221003221 is a wasteful number, since it uses less digits than its factorization.

102001221003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34194174163.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102001221003221 its reverse (122300122100201), we get a palindrome (224301343103422).

The spelling of 102001221003221 in words is "one hundred two trillion, one billion, two hundred twenty-one million, three thousand, two hundred twenty-one".