112102210110000 has 400 divisors, whose sum is σ = 395534587916160. Its totient is φ = 27124289280000.

The previous prime is 112102210109893. The next prime is 112102210110013. The reversal of 112102210110000 is 11012201211.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×112102210110000³ (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172265236 + ... + 172914764.

Almost surely, 2^{112102210110000} is an apocalyptic number.

112102210110000 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 112102210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197767293958080).

112102210110000 is an abundant number, since it is smaller than the sum of its proper divisors (283432377806160).

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

112102210110000 is a wasteful number, since it uses less digits than its factorization.

112102210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650094 (or 650073 counting only the distinct ones).

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

Adding to 112102210110000 its reverse (11012201211), we get a palindrome (112113222311211).

The spelling of 112102210110000 in words is "one hundred twelve trillion, one hundred two billion, two hundred ten million, one hundred ten thousand".