200210221120120 has 32 divisors (see below), whose sum is σ = 466006549161600. Its totient is φ = 77322568156288.

The previous prime is 200210221120109. The next prime is 200210221120127. The reversal of 200210221120120 is 21021122012002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200210221120094 and 200210221120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210221120127) 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, 86297507944 + ... + 86297510263.

It is an arithmetic number, because the mean of its divisors is an integer number (14562704661300).

Almost surely, 2^{200210221120120} is an apocalyptic number.

200210221120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210221120120 is an abundant number, since it is smaller than the sum of its proper divisors (265796328041480).

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

200210221120120 is a wasteful number, since it uses less digits than its factorization.

200210221120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172595018247 (or 172595018243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200210221120120 its reverse (21021122012002), we get a palindrome (221231343132122).

The spelling of 200210221120120 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".