2112200210000 has 400 divisors, whose sum is σ = 5430391718400. Its totient is φ = 794314752000.

The previous prime is 2112200209991. The next prime is 2112200210063. The reversal of 2112200210000 is 120022112.

It is a happy number.

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

It is a super-2 number, since 2×2112200210000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 4811389781 + ... + 4811390219.

It is an arithmetic number, because the mean of its divisors is an integer number (13575979296).

Almost surely, 2^{2112200210000} is an apocalyptic number.

2112200210000 is a gapful number since it is divisible by the number (20) 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 2112200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715195859200).

2112200210000 is an abundant number, since it is smaller than the sum of its proper divisors (3318191508400).

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

2112200210000 is a wasteful number, since it uses less digits than its factorization.

2112200210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 875 counting only the distinct ones).

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

Adding to 2112200210000 its reverse (120022112), we get a palindrome (2112320232112).

The spelling of 2112200210000 in words is "two trillion, one hundred twelve billion, two hundred million, two hundred ten thousand".