202112222110020 has 288 divisors, whose sum is σ = 632191720672512. Its totient is φ = 52227780701184.

The previous prime is 202112222109997. The next prime is 202112222110027. The reversal of 202112222110020 is 20011222211202.

It is a happy number.

202112222110020 is a `hidden beast` number, since 2 + 0 + 211 + 222 + 211 + 0 + 0 + 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 = 202112222109975 and 202112222110002.

It is not an unprimeable number, because it can be changed into a prime (202112222110027) 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 95 ways as a sum of consecutive naturals, for example, 8710595739 + ... + 8710618941.

It is an arithmetic number, because the mean of its divisors is an integer number (2195110141224).

Almost surely, 2^{202112222110020} is an apocalyptic number.

202112222110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112222110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316095860336256).

202112222110020 is an abundant number, since it is smaller than the sum of its proper divisors (430079498562492).

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

202112222110020 is a wasteful number, since it uses less digits than its factorization.

202112222110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28491 (or 28486 counting only the distinct ones).

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

Adding to 202112222110020 its reverse (20011222211202), we get a palindrome (222123444321222).

The spelling of 202112222110020 in words is "two hundred two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred ten thousand, twenty".