112002120102120 has 512 divisors, whose sum is σ = 354591820800000. Its totient is φ = 28274514960384.

The previous prime is 112002120102109. The next prime is 112002120102137. The reversal of 112002120102120 is 21201021200211.

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 112002120102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23387368686 + ... + 23387373474.

It is an arithmetic number, because the mean of its divisors is an integer number (692562150000).

Almost surely, 2^{112002120102120} is an apocalyptic number.

112002120102120 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 112002120102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177295910400000).

112002120102120 is an abundant number, since it is smaller than the sum of its proper divisors (242589700697880).

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

112002120102120 is a wasteful number, since it uses less digits than its factorization.

112002120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112002120102120 its reverse (21201021200211), we get a palindrome (133203141302331).

The spelling of 112002120102120 in words is "one hundred twelve trillion, two billion, one hundred twenty million, one hundred two thousand, one hundred twenty".