112102102001112 has 64 divisors (see below), whose sum is σ = 280325048140800. Its totient is φ = 37358062824960.

The previous prime is 112102102001101. The next prime is 112102102001117. The reversal of 112102102001112 is 211100201201211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112102102001091 and 112102102001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102102001117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1885909312 + ... + 1885968752.

It is an arithmetic number, because the mean of its divisors is an integer number (4380078877200).

Almost surely, 2^{112102102001112} is an apocalyptic number.

112102102001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112102102001112 is an abundant number, since it is smaller than the sum of its proper divisors (168222946139688).

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

112102102001112 is a wasteful number, since it uses less digits than its factorization.

112102102001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77696 (or 77692 counting only the distinct ones).

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

Adding to 112102102001112 its reverse (211100201201211), we get a palindrome (323202303202323).

The spelling of 112102102001112 in words is "one hundred twelve trillion, one hundred two billion, one hundred two million, one thousand, one hundred twelve".