220221101201121 has 16 divisors (see below), whose sum is σ = 326692586229120. Its totient is φ = 146616471131760.

The previous prime is 220221101201039. The next prime is 220221101201141. The reversal of 220221101201121 is 121102101122022.

220221101201121 is a `hidden beast` number, since 2 + 20 + 221 + 101 + 201 + 121 = 666.

It is not a de Polignac number, because 220221101201121 - 2⁷ = 220221101200993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220221101201094 and 220221101201103.

It is not an unprimeable number, because it can be changed into a prime (220221101201141) 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 15 ways as a sum of consecutive naturals, for example, 5488766670 + ... + 5488806791.

It is an arithmetic number, because the mean of its divisors is an integer number (20418286639320).

Almost surely, 2^{220221101201121} is an apocalyptic number.

It is an amenable number.

220221101201121 is a deficient number, since it is larger than the sum of its proper divisors (106471485027999).

220221101201121 is a wasteful number, since it uses less digits than its factorization.

220221101201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977574213 (or 10977574207 counting only the distinct ones).

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

Adding to 220221101201121 its reverse (121102101122022), we get a palindrome (341323202323143).

The spelling of 220221101201121 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two hundred one thousand, one hundred twenty-one".