202112210120 has 128 divisors (see below), whose sum is σ = 474470524800. Its totient is φ = 77435289600.

The previous prime is 202112210119. The next prime is 202112210221. The reversal of 202112210120 is 21012211202.

202112210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202112210095 and 202112210104.

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 31 ways as a sum of consecutive naturals, for example, 15397160 + ... + 15410280.

It is an arithmetic number, because the mean of its divisors is an integer number (3706800975).

Almost surely, 2^202112210120 is an apocalyptic number.

202112210120 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 202112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237235262400).

202112210120 is an abundant number, since it is smaller than the sum of its proper divisors (272358314680).

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

202112210120 is a wasteful number, since it uses less digits than its factorization.

202112210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13355 counting only the distinct ones).

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

Adding to 202112210120 its reverse (21012211202), we get a palindrome (223124421322).

The spelling of 202112210120 in words is "two hundred two billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".