2112021100000 has 288 divisors, whose sum is σ = 5998688684352. Its totient is φ = 716928000000.

The previous prime is 2112021099953. The next prime is 2112021100031. The reversal of 2112021100000 is 11202112.

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 2112021100000.

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 47 ways as a sum of consecutive naturals, for example, 70685064 + ... + 70714936.

It is an arithmetic number, because the mean of its divisors is an integer number (20828780154).

Almost surely, 2^{2112021100000} is an apocalyptic number.

2112021100000 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 2112021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999344342176).

2112021100000 is an abundant number, since it is smaller than the sum of its proper divisors (3886667584352).

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

2112021100000 is an equidigital number, since it uses as much as digits as its factorization.

2112021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30016 (or 29988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2112021100000 its reverse (11202112), we get a palindrome (2112032302112).

The spelling of 2112021100000 in words is "two trillion, one hundred twelve billion, twenty-one million, one hundred thousand".