112101101112 has 256 divisors, whose sum is σ = 388424171520. Its totient is φ = 26010201600.

The previous prime is 112101101053. The next prime is 112101101197. The reversal of 112101101112 is 211101101211.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669483 + ... + 820005.

It is an arithmetic number, because the mean of its divisors is an integer number (1517281920).

Almost surely, 2^112101101112 is an apocalyptic number.

112101101112 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 112101101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194212085760).

112101101112 is an abundant number, since it is smaller than the sum of its proper divisors (276323070408).

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

112101101112 is a wasteful number, since it uses less digits than its factorization.

112101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150594 (or 150590 counting only the distinct ones).

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

Adding to 112101101112 its reverse (211101101211), we get a palindrome (323202202323).

Subtracting 112101101112 from its reverse (211101101211), we obtain a palindrome (99000000099).

The spelling of 112101101112 in words is "one hundred twelve billion, one hundred one million, one hundred one thousand, one hundred twelve".