112212202010202 has 576 divisors, whose sum is σ = 320815542288384. Its totient is φ = 27638836485120.

The previous prime is 112212202010197. The next prime is 112212202010213. The reversal of 112212202010202 is 202010202212211.

It is a happy number.

112212202010202 is a `hidden beast` number, since 1 + 1 + 221 + 220 + 20 + 1 + 0 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50027730493 + ... + 50027732735.

It is an arithmetic number, because the mean of its divisors is an integer number (556971427584).

Almost surely, 2^{112212202010202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112212202010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160407771144192).

112212202010202 is an abundant number, since it is smaller than the sum of its proper divisors (208603340278182).

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

112212202010202 is a wasteful number, since it uses less digits than its factorization.

112212202010202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112212202010202 its reverse (202010202212211), we get a palindrome (314222404222413).

The spelling of 112212202010202 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred two million, ten thousand, two hundred two".