202221100010120 has 32 divisors (see below), whose sum is σ = 464678272368000. Its totient is φ = 79167409364928.

The previous prime is 202221100010081. The next prime is 202221100010129. The reversal of 202221100010120 is 21010001122202.

It is a junction number, because it is equal to n+sod(n) for n = 202221100010095 and 202221100010104.

It is not an unprimeable number, because it can be changed into a prime (202221100010129) 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 7 ways as a sum of consecutive naturals, for example, 53782205570 + ... + 53782209329.

It is an arithmetic number, because the mean of its divisors is an integer number (14521196011500).

Almost surely, 2^{202221100010120} is an apocalyptic number.

202221100010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221100010120 is an abundant number, since it is smaller than the sum of its proper divisors (262457172357880).

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

202221100010120 is a wasteful number, since it uses less digits than its factorization.

202221100010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107564414957 (or 107564414953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202221100010120 its reverse (21010001122202), we get a palindrome (223231101132322).

The spelling of 202221100010120 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred million, ten thousand, one hundred twenty".