2212002100000 has 432 divisors, whose sum is σ = 6907744126080. Its totient is φ = 689438400000.

The previous prime is 2212002099959. The next prime is 2212002100001. The reversal of 2212002100000 is 12002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2212002100000.

It is not an unprimeable number, because it can be changed into a prime (2212002100001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53879481 + ... + 53920519.

It is an arithmetic number, because the mean of its divisors is an integer number (15990148440).

Almost surely, 2^{2212002100000} is an apocalyptic number.

2212002100000 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 2212002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453872063040).

2212002100000 is an abundant number, since it is smaller than the sum of its proper divisors (4695742026080).

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

2212002100000 is an equidigital number, since it uses as much as digits as its factorization.

2212002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41099 (or 41064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2212002100000 its reverse (12002122), we get a palindrome (2212014102122).

The spelling of 2212002100000 in words is "two trillion, two hundred twelve billion, two million, one hundred thousand".