221415132321221 has 16 divisors (see below), whose sum is σ = 225169506979200. Its totient is φ = 217664803245120.

The previous prime is 221415132321217. The next prime is 221415132321239. The reversal of 221415132321221 is 122123231514122.

It is a cyclic number.

It is not a de Polignac number, because 221415132321221 - 2² = 221415132321217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221415132321211) 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, 1086102326 + ... + 1086306168.

It is an arithmetic number, because the mean of its divisors is an integer number (14073094186200).

Almost surely, 2^{221415132321221} is an apocalyptic number.

It is an amenable number.

221415132321221 is a deficient number, since it is larger than the sum of its proper divisors (3754374657979).

221415132321221 is a wasteful number, since it uses less digits than its factorization.

221415132321221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213676.

The product of its digits is 11520, while the sum is 32.

Adding to 221415132321221 its reverse (122123231514122), we get a palindrome (343538363835343).

The spelling of 221415132321221 in words is "two hundred twenty-one trillion, four hundred fifteen billion, one hundred thirty-two million, three hundred twenty-one thousand, two hundred twenty-one".