212110201100000 has 288 divisors, whose sum is σ = 596590400770560. Its totient is φ = 72715129920000.

The previous prime is 212110201099957. The next prime is 212110201100071. The reversal of 212110201100000 is 1102011212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11540890811 + ... + 11540909189.

It is an arithmetic number, because the mean of its divisors is an integer number (2071494447120).

Almost surely, 2^{212110201100000} is an apocalyptic number.

212110201100000 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 212110201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298295200385280).

212110201100000 is an abundant number, since it is smaller than the sum of its proper divisors (384480199670560).

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

212110201100000 is an equidigital number, since it uses as much as digits as its factorization.

212110201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34908 (or 34880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212110201100000 its reverse (1102011212), we get a palindrome (212111303111212).

The spelling of 212110201100000 in words is "two hundred twelve trillion, one hundred ten billion, two hundred one million, one hundred thousand".