112202102210000 has 400 divisors, whose sum is σ = 310223050346880. Its totient is φ = 38901857280000.

The previous prime is 112202102209999. The next prime is 112202102210017. The reversal of 112202102210000 is 12201202211.

112202102210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 791819156 + ... + 791960844.

Almost surely, 2^{112202102210000} is an apocalyptic number.

112202102210000 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 112202102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155111525173440).

112202102210000 is an abundant number, since it is smaller than the sum of its proper divisors (198020948136880).

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

112202102210000 is a wasteful number, since it uses less digits than its factorization.

112202102210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142064 (or 142043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112202102210000 its reverse (12201202211), we get a palindrome (112214303412211).

The spelling of 112202102210000 in words is "one hundred twelve trillion, two hundred two billion, one hundred two million, two hundred ten thousand".