112101210102000 has 480 divisors, whose sum is σ = 421501920989760. Its totient is φ = 25557238425600.

The previous prime is 112101210101989. The next prime is 112101210102019. The reversal of 112101210102000 is 201012101211.

112101210102000 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112101210102000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113875902 + ... + 114856098.

It is an arithmetic number, because the mean of its divisors is an integer number (878129002062).

Almost surely, 2^{112101210102000} is an apocalyptic number.

112101210102000 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 112101210102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210750960494880).

112101210102000 is an abundant number, since it is smaller than the sum of its proper divisors (309400710887760).

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

112101210102000 is a wasteful number, since it uses less digits than its factorization.

112101210102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980626 (or 980603 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112101210102000 its reverse (201012101211), we get a palindrome (112302222203211).

The spelling of 112101210102000 in words is "one hundred twelve trillion, one hundred one billion, two hundred ten million, one hundred two thousand".