212002022110000 has 100 divisors (see below), whose sum is σ = 514632400697800. Its totient is φ = 84577058496000.

The previous prime is 212002022109961. The next prime is 212002022110001. The reversal of 212002022110000 is 11220200212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (212002022110001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24178605 + ... + 31758604.

It is an arithmetic number, because the mean of its divisors is an integer number (5146324006978).

Almost surely, 2^{212002022110000} is an apocalyptic number.

212002022110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002022110000 is an abundant number, since it is smaller than the sum of its proper divisors (302630378587800).

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

212002022110000 is an equidigital number, since it uses as much as digits as its factorization.

212002022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55937616 (or 55937595 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212002022110000 its reverse (11220200212), we get a palindrome (212013242310212).

The spelling of 212002022110000 in words is "two hundred twelve trillion, two billion, twenty-two million, one hundred ten thousand".