221110220101221 has 96 divisors (see below), whose sum is σ = 352494093219840. Its totient is φ = 132444325238400.

The previous prime is 221110220101219. The next prime is 221110220101229. The reversal of 221110220101221 is 122101022011122.

221110220101221 is a `hidden beast` number, since 2 + 211 + 1 + 0 + 220 + 10 + 1 + 221 = 666.

It is not a de Polignac number, because 221110220101221 - 2¹ = 221110220101219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221110220101194 and 221110220101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110220101229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7111695886 + ... + 7111726976.

It is an arithmetic number, because the mean of its divisors is an integer number (3671813471040).

Almost surely, 2^{221110220101221} is an apocalyptic number.

It is an amenable number.

221110220101221 is a deficient number, since it is larger than the sum of its proper divisors (131383873118619).

221110220101221 is a wasteful number, since it uses less digits than its factorization.

221110220101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32847 (or 32844 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221110220101221 its reverse (122101022011122), we get a palindrome (343211242112343).

The spelling of 221110220101221 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred twenty million, one hundred one thousand, two hundred twenty-one".