202010222112 has 96 divisors (see below), whose sum is σ = 549322300800. Its totient is φ = 64924704768.

The previous prime is 202010222111. The next prime is 202010222143. The reversal of 202010222112 is 211222010202.

202010222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 202010222091 and 202010222100.

It is not an unprimeable number, because it can be changed into a prime (202010222111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1974064 + ... + 2073872.

It is an arithmetic number, because the mean of its divisors is an integer number (5722107300).

Almost surely, 2^202010222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274661150400).

202010222112 is an abundant number, since it is smaller than the sum of its proper divisors (347312078688).

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

202010222112 is a wasteful number, since it uses less digits than its factorization.

202010222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100578 (or 100570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202010222112 its reverse (211222010202), we get a palindrome (413232232314).

The spelling of 202010222112 in words is "two hundred two billion, ten million, two hundred twenty-two thousand, one hundred twelve".