112101112200100 has 72 divisors (see below), whose sum is σ = 243899142268320. Its totient is φ = 44722562983680.

The previous prime is 112101112200083. The next prime is 112101112200101. The reversal of 112101112200100 is 1002211101211.

It is a happy number.

112101112200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112101112200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224004759 + ... + 224504641.

It is an arithmetic number, because the mean of its divisors is an integer number (3387488087060).

Almost surely, 2^{112101112200100} is an apocalyptic number.

112101112200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101112200100 is an abundant number, since it is smaller than the sum of its proper divisors (131798030068220).

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

112101112200100 is a wasteful number, since it uses less digits than its factorization.

112101112200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505789 (or 505782 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112101112200100 its reverse (1002211101211), we get a palindrome (113103323301311).

The spelling of 112101112200100 in words is "one hundred twelve trillion, one hundred one billion, one hundred twelve million, two hundred thousand, one hundred".