111012010001112 has 128 divisors (see below), whose sum is σ = 304364007360000. Its totient is φ = 33461874800640.

The previous prime is 111012010001099. The next prime is 111012010001129. The reversal of 111012010001112 is 211100010210111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194571168 + ... + 195140880.

It is an arithmetic number, because the mean of its divisors is an integer number (2377843807500).

Almost surely, 2^{111012010001112} is an apocalyptic number.

111012010001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111012010001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152182003680000).

111012010001112 is an abundant number, since it is smaller than the sum of its proper divisors (193351997358888).

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

111012010001112 is a wasteful number, since it uses less digits than its factorization.

111012010001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573641 (or 573637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111012010001112 its reverse (211100010210111), we get a palindrome (322112020211223).

The spelling of 111012010001112 in words is "one hundred eleven trillion, twelve billion, ten million, one thousand, one hundred twelve".