112012121112100 has 144 divisors (see below), whose sum is σ = 277022716286400. Its totient is φ = 38937760960000.

The previous prime is 112012121112079. The next prime is 112012121112127. The reversal of 112012121112100 is 1211121210211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14161030 + ... + 20604829.

It is an arithmetic number, because the mean of its divisors is an integer number (1923768863100).

Almost surely, 2^{112012121112100} is an apocalyptic number.

112012121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012121112100 is an abundant number, since it is smaller than the sum of its proper divisors (165010595174300).

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

112012121112100 is a wasteful number, since it uses less digits than its factorization.

112012121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34766014 (or 34766007 counting only the distinct ones).

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

Adding to 112012121112100 its reverse (1211121210211), we get a palindrome (113223242322311).

The spelling of 112012121112100 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".