102201221132221 has 16 divisors (see below), whose sum is σ = 104817931296768. Its totient is φ = 99603824223600.

The previous prime is 102201221132177. The next prime is 102201221132267. The reversal of 102201221132221 is 122231122102201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201221132221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201221132192 and 102201221132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201221132291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5771056 + ... + 15417766.

It is an arithmetic number, because the mean of its divisors is an integer number (6551120706048).

Almost surely, 2^{102201221132221} is an apocalyptic number.

It is an amenable number.

102201221132221 is a deficient number, since it is larger than the sum of its proper divisors (2616710164547).

102201221132221 is an equidigital number, since it uses as much as digits as its factorization.

102201221132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9647712.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102201221132221 its reverse (122231122102201), we get a palindrome (224432343234422).

The spelling of 102201221132221 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty-one".