112202000210000 has 200 divisors, whose sum is σ = 281064189669120. Its totient is φ = 43326308032000.

The previous prime is 112202000209993. The next prime is 112202000210039. The reversal of 112202000210000 is 12000202211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×112202000210000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2066802857 + ... + 2066857143.

Almost surely, 2^{112202000210000} is an apocalyptic number.

112202000210000 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 112202000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140532094834560).

112202000210000 is an abundant number, since it is smaller than the sum of its proper divisors (168862189459120).

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

112202000210000 is an equidigital number, since it uses as much as digits as its factorization.

112202000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61471 (or 61450 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112202000210000 its reverse (12000202211), we get a palindrome (112214000412211).

The spelling of 112202000210000 in words is "one hundred twelve trillion, two hundred two billion, two hundred ten thousand".