220101011212221 has 12 divisors (see below), whose sum is σ = 323135546516380. Its totient is φ = 144328531942080.

The previous prime is 220101011212213. The next prime is 220101011212241. The reversal of 220101011212221 is 122212110101022.

220101011212221 is a `hidden beast` number, since 220 + 1 + 0 + 1 + 0 + 11 + 212 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10832556951225 + 209268454260996 = 3291285^2 + 14466114^2 .

It is not a de Polignac number, because 220101011212221 - 2³ = 220101011212213 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220101011212194 and 220101011212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101011212241) 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 11 ways as a sum of consecutive naturals, for example, 200456293816 + ... + 200456294913.

Almost surely, 2^{220101011212221} is an apocalyptic number.

It is an amenable number.

220101011212221 is a deficient number, since it is larger than the sum of its proper divisors (103034535304159).

220101011212221 is a wasteful number, since it uses less digits than its factorization.

220101011212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400912588796 (or 400912588793 counting only the distinct ones).

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

Adding to 220101011212221 its reverse (122212110101022), we get a palindrome (342313121313243).

The spelling of 220101011212221 in words is "two hundred twenty trillion, one hundred one billion, eleven million, two hundred twelve thousand, two hundred twenty-one".