220211221112010 has 48 divisors (see below), whose sum is σ = 572654482247016. Its totient is φ = 58712191542144.

The previous prime is 220211221111997. The next prime is 220211221112027. The reversal of 220211221112010 is 10211122112022.

220211221112010 is a `hidden beast` number, since 2 + 20 + 211 + 221 + 11 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138430072828161 + 81781148283849 = 11765631^2 + 9043293^2 .

It is a super-3 number, since 3×220211221112010³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 224523669 + ... + 225502328.

Almost surely, 2^{220211221112010} is an apocalyptic number.

220211221112010 is an abundant number, since it is smaller than the sum of its proper divisors (352443261135006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220211221112010 is a wasteful number, since it uses less digits than its factorization.

220211221112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450031447 (or 450031444 counting only the distinct ones).

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

Adding to 220211221112010 its reverse (10211122112022), we get a palindrome (230422343224032).

It can be divided in two parts, 22021122 and 1112010, that added together give a palindrome (23133132).

The spelling of 220211221112010 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, ten".