112202101100112 has 40 divisors (see below), whose sum is σ = 302457837751104. Its totient is φ = 35774582959104.

The previous prime is 112202101100093. The next prime is 112202101100113. The reversal of 112202101100112 is 211001101202211.

It is a happy number.

It is a super-2 number, since 2×112202101100112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112202101100091 and 112202101100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202101100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50816167873 + ... + 50816170080.

Almost surely, 2^{112202101100112} is an apocalyptic number.

112202101100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112202101100112 is an abundant number, since it is smaller than the sum of its proper divisors (190255736650992).

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

112202101100112 is a wasteful number, since it uses less digits than its factorization.

112202101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101632337987 (or 101632337981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112202101100112 its reverse (211001101202211), we get a palindrome (323203202302323).

The spelling of 112202101100112 in words is "one hundred twelve trillion, two hundred two billion, one hundred one million, one hundred thousand, one hundred twelve".