112120201201110 has 128 divisors (see below), whose sum is σ = 283340468551680. Its totient is φ = 28339344101376.

The previous prime is 112120201201079. The next prime is 112120201201121. The reversal of 112120201201110 is 11102102021211.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112120201201110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71873574 + ... + 73416966.

It is an arithmetic number, because the mean of its divisors is an integer number (2213597410560).

Almost surely, 2^{112120201201110} is an apocalyptic number.

112120201201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120201201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670234275840).

112120201201110 is an abundant number, since it is smaller than the sum of its proper divisors (171220267350570).

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

112120201201110 is a wasteful number, since it uses less digits than its factorization.

112120201201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544382.

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

Adding to 112120201201110 its reverse (11102102021211), we get a palindrome (123222303222321).

The spelling of 112120201201110 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred one million, two hundred one thousand, one hundred ten".