112101222111000 has 512 divisors, whose sum is σ = 358550078515200. Its totient is φ = 29154264422400.

The previous prime is 112101222110981. The next prime is 112101222111029. The reversal of 112101222111000 is 111222101211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5493262797 + ... + 5493283203.

It is an arithmetic number, because the mean of its divisors is an integer number (700293122100).

Almost surely, 2^{112101222111000} is an apocalyptic number.

112101222111000 is a gapful number since it is divisible by the number (10) 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 112101222111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179275039257600).

112101222111000 is an abundant number, since it is smaller than the sum of its proper divisors (246448856404200).

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

112101222111000 is a wasteful number, since it uses less digits than its factorization.

112101222111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20804 (or 20790 counting only the distinct ones).

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

Adding to 112101222111000 its reverse (111222101211), we get a palindrome (112212444212211).

The spelling of 112101222111000 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-two million, one hundred eleven thousand".