221110002212121 has 72 divisors (see below), whose sum is σ = 358104795912864. Its totient is φ = 130377763088640.

The previous prime is 221110002212053. The next prime is 221110002212149. The reversal of 221110002212121 is 121212200011122.

221110002212121 is a `hidden beast` number, since 221 + 1 + 10 + 0 + 0 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 221110002212121 - 2¹³ = 221110002203929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221110002212094 and 221110002212103.

It is not an unprimeable number, because it can be changed into a prime (221110002212321) 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 71 ways as a sum of consecutive naturals, for example, 4791404370 + ... + 4791450516.

It is an arithmetic number, because the mean of its divisors is an integer number (4973677721012).

Almost surely, 2^{221110002212121} is an apocalyptic number.

It is an amenable number.

221110002212121 is a deficient number, since it is larger than the sum of its proper divisors (136994793700743).

221110002212121 is a wasteful number, since it uses less digits than its factorization.

221110002212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81591 (or 81551 counting only the distinct ones).

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

Adding to 221110002212121 its reverse (121212200011122), we get a palindrome (342322202223243).

The spelling of 221110002212121 in words is "two hundred twenty-one trillion, one hundred ten billion, two million, two hundred twelve thousand, one hundred twenty-one".