220122212101020 has 96 divisors (see below), whose sum is σ = 685122802459200. Its totient is φ = 58673701481472.

The previous prime is 220122212100971. The next prime is 220122212101021. The reversal of 220122212101020 is 20101212221022.

It is a happy number.

220122212101020 is a `hidden beast` number, since 2 + 201 + 2 + 221 + 210 + 10 + 20 = 666.

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 = 220122212100984 and 220122212101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122212101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87491385 + ... + 89972144.

It is an arithmetic number, because the mean of its divisors is an integer number (7136695858950).

Almost surely, 2^{220122212101020} is an apocalyptic number.

220122212101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122212101020 is an abundant number, since it is smaller than the sum of its proper divisors (465000590358180).

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

220122212101020 is a wasteful number, since it uses less digits than its factorization.

220122212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177465844 (or 177465836 counting only the distinct ones).

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

Adding to 220122212101020 its reverse (20101212221022), we get a palindrome (240223424322042).

The spelling of 220122212101020 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, twenty".