112111002101120 has 256 divisors, whose sum is σ = 296211411777600. Its totient is φ = 40236377702400.

The previous prime is 112111002101099. The next prime is 112111002101171. The reversal of 112111002101120 is 21101200111211.

It is a junction number, because it is equal to n+sod(n) for n = 112111002101095 and 112111002101104.

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, 196927280 + ... + 197495760.

Almost surely, 2^{112111002101120} is an apocalyptic number.

112111002101120 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 112111002101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148105705888800).

112111002101120 is an abundant number, since it is smaller than the sum of its proper divisors (184100409676480).

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

112111002101120 is a wasteful number, since it uses less digits than its factorization.

112111002101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568877 (or 568865 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112111002101120 its reverse (21101200111211), we get a palindrome (133212202212331).

The spelling of 112111002101120 in words is "one hundred twelve trillion, one hundred eleven billion, two million, one hundred one thousand, one hundred twenty".