202112112104 has 128 divisors (see below), whose sum is σ = 456261120000. Its totient is φ = 82109147904.

The previous prime is 202112112091. The next prime is 202112112179. The reversal of 202112112104 is 401211211202.

202112112104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21966497 + ... + 21975695.

It is an arithmetic number, because the mean of its divisors is an integer number (3564540000).

Almost surely, 2^202112112104 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 202112112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228130560000).

202112112104 is an abundant number, since it is smaller than the sum of its proper divisors (254149007896).

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

202112112104 is a wasteful number, since it uses less digits than its factorization.

202112112104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202112112104 its reverse (401211211202), we get a palindrome (603323323306).

The spelling of 202112112104 in words is "two hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred four".