112121101112202 has 320 divisors, whose sum is σ = 323041127270400. Its totient is φ = 28268039923200.

The previous prime is 112121101112123. The next prime is 112121101112203. The reversal of 112121101112202 is 202211101121211.

It is a happy number.

112121101112202 is a `hidden beast` number, since 1 + 121 + 211 + 0 + 111 + 220 + 2 = 666.

112121101112202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112121101112202² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112121101112203) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41880999 + ... + 44477637.

It is an arithmetic number, because the mean of its divisors is an integer number (1009503522720).

Almost surely, 2^{112121101112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121101112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161520563635200).

112121101112202 is an abundant number, since it is smaller than the sum of its proper divisors (210920026158198).

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

112121101112202 is a wasteful number, since it uses less digits than its factorization.

112121101112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596803 (or 2596794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121101112202 its reverse (202211101121211), we get a palindrome (314332202233413).

Subtracting 112121101112202 from its reverse (202211101121211), we obtain a palindrome (90090000009009).

The spelling of 112121101112202 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, two hundred two".