221102211110121 has 48 divisors (see below), whose sum is σ = 348687093718080. Its totient is φ = 133892281359360.

The previous prime is 221102211110089. The next prime is 221102211110159. The reversal of 221102211110121 is 121011112201122.

It is a happy number.

221102211110121 is a `hidden beast` number, since 2 + 211 + 0 + 221 + 1 + 110 + 121 = 666.

It is not a de Polignac number, because 221102211110121 - 2⁵ = 221102211110089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221102211110094 and 221102211110103.

It is not an unprimeable number, because it can be changed into a prime (221102211117121) 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 47 ways as a sum of consecutive naturals, for example, 1286222145 + ... + 1286394033.

It is an arithmetic number, because the mean of its divisors is an integer number (7264314452460).

Almost surely, 2^{221102211110121} is an apocalyptic number.

It is an amenable number.

221102211110121 is a deficient number, since it is larger than the sum of its proper divisors (127584882607959).

221102211110121 is a wasteful number, since it uses less digits than its factorization.

221102211110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182406 (or 182403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221102211110121 its reverse (121011112201122), we get a palindrome (342113323311243).

The spelling of 221102211110121 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred eleven million, one hundred ten thousand, one hundred twenty-one".