112102211001120 has 192 divisors, whose sum is σ = 380773364952960. Its totient is φ = 27629813145600.

The previous prime is 112102211001083. The next prime is 112102211001173. The reversal of 112102211001120 is 21100112201211.

It is a happy number.

112102211001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112102211001120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 112102211001120.

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, 149527411 + ... + 150275250.

It is an arithmetic number, because the mean of its divisors is an integer number (1983194609130).

Almost surely, 2^{112102211001120} is an apocalyptic number.

112102211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102211001120 is an abundant number, since it is smaller than the sum of its proper divisors (268671153951840).

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

112102211001120 is a wasteful number, since it uses less digits than its factorization.

112102211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299802739 (or 299802731 counting only the distinct ones).

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

Adding to 112102211001120 its reverse (21100112201211), we get a palindrome (133202323202331).

The spelling of 112102211001120 in words is "one hundred twelve trillion, one hundred two billion, two hundred eleven million, one thousand, one hundred twenty".