220212011101221 has 24 divisors (see below), whose sum is σ = 319177542201336. Its totient is φ = 146303327871360.

The previous prime is 220212011101219. The next prime is 220212011101237. The reversal of 220212011101221 is 122101110212022.

220212011101221 is a `hidden beast` number, since 220 + 2 + 120 + 1 + 1 + 101 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34925085965025 + 185286925136196 = 5909745^2 + 13612014^2 .

It is not a de Polignac number, because 220212011101221 - 2¹ = 220212011101219 is a prime.

It is a super-2 number, since 2×220212011101221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220212011101194 and 220212011101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212011102221) 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 23 ways as a sum of consecutive naturals, for example, 107473911 + ... + 109503723.

It is an arithmetic number, because the mean of its divisors is an integer number (13299064258389).

Almost surely, 2^{220212011101221} is an apocalyptic number.

It is an amenable number.

220212011101221 is a deficient number, since it is larger than the sum of its proper divisors (98965531100115).

220212011101221 is a wasteful number, since it uses less digits than its factorization.

220212011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071253 (or 2071250 counting only the distinct ones).

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

Adding to 220212011101221 its reverse (122101110212022), we get a palindrome (342313121313243).

The spelling of 220212011101221 in words is "two hundred twenty trillion, two hundred twelve billion, eleven million, one hundred one thousand, two hundred twenty-one".