220102221210120 has 48 divisors (see below), whose sum is σ = 715332218934060. Its totient is φ = 58693925655936.

The previous prime is 220102221210083. The next prime is 220102221210251. The reversal of 220102221210120 is 21012122201022.

It is a happy number.

220102221210120 is a `hidden beast` number, since 2 + 201 + 0 + 222 + 121 + 0 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211136999546916 + 8965221663204 = 14530554^2 + 2994198^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 220102221210093 and 220102221210102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 305697529099 + ... + 305697529818.

Almost surely, 2^{220102221210120} is an apocalyptic number.

220102221210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102221210120 is an abundant number, since it is smaller than the sum of its proper divisors (495229997723940).

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

220102221210120 is a wasteful number, since it uses less digits than its factorization.

220102221210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611395058934 (or 611395058927 counting only the distinct ones).

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

Adding to 220102221210120 its reverse (21012122201022), we get a palindrome (241114343411142).

The spelling of 220102221210120 in words is "two hundred twenty trillion, one hundred two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".