221020221020121 has 48 divisors (see below), whose sum is σ = 329028800068800. Its totient is φ = 142908479138304.

The previous prime is 221020221020113. The next prime is 221020221020167. The reversal of 221020221020121 is 121020122020122.

It is a happy number.

221020221020121 is a `hidden beast` number, since 2 + 210 + 20 + 2 + 210 + 201 + 21 = 666.

It is not a de Polignac number, because 221020221020121 - 2³ = 221020221020113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221020221020094 and 221020221020103.

It is not an unprimeable number, because it can be changed into a prime (221020221021121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16480530 + ... + 26714196.

It is an arithmetic number, because the mean of its divisors is an integer number (6854766668100).

Almost surely, 2^{221020221020121} is an apocalyptic number.

It is an amenable number.

221020221020121 is a deficient number, since it is larger than the sum of its proper divisors (108008579048679).

221020221020121 is a wasteful number, since it uses less digits than its factorization.

221020221020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234278 (or 10234275 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221020221020121 its reverse (121020122020122), we get a palindrome (342040343040243).

The spelling of 221020221020121 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-one million, twenty thousand, one hundred twenty-one".