112100012202112 has 128 divisors (see below), whose sum is σ = 246570135678720. Its totient is φ = 50341057536000.

The previous prime is 112100012202083. The next prime is 112100012202133. The reversal of 112100012202112 is 211202210001211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64991028 + ... + 66693580.

It is an arithmetic number, because the mean of its divisors is an integer number (1926329184990).

Almost surely, 2^{112100012202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123285067839360).

112100012202112 is an abundant number, since it is smaller than the sum of its proper divisors (134470123476608).

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

112100012202112 is a wasteful number, since it uses less digits than its factorization.

112100012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703142 (or 1703130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112100012202112 its reverse (211202210001211), we get a palindrome (323302222203323).

The spelling of 112100012202112 in words is "one hundred twelve trillion, one hundred billion, twelve million, two hundred two thousand, one hundred twelve".