112010102102112 has 24 divisors (see below), whose sum is σ = 294026518018296. Its totient is φ = 37336700700672.

The previous prime is 112010102102047. The next prime is 112010102102117. The reversal of 112010102102112 is 211201201010211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 112010102102091 and 112010102102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010102102117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 583385948353 + ... + 583385948544.

It is an arithmetic number, because the mean of its divisors is an integer number (12251104917429).

Almost surely, 2^{112010102102112} is an apocalyptic number.

112010102102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112010102102112 is an abundant number, since it is smaller than the sum of its proper divisors (182016415916184).

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

112010102102112 is a wasteful number, since it uses less digits than its factorization.

112010102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166771896910 (or 1166771896902 counting only the distinct ones).

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

Adding to 112010102102112 its reverse (211201201010211), we get a palindrome (323211303112323).

The spelling of 112010102102112 in words is "one hundred twelve trillion, ten billion, one hundred two million, one hundred two thousand, one hundred twelve".