211100002020000 has 720 divisors, whose sum is σ = 772449752954880. Its totient is φ = 54628224768000.

The previous prime is 211100002019927. The next prime is 211100002020031. The reversal of 211100002020000 is 20200001112.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2550738621 + ... + 2550821379.

It is an arithmetic number, because the mean of its divisors is an integer number (1072846879104).

Almost surely, 2^{211100002020000} is an apocalyptic number.

211100002020000 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 211100002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386224876477440).

211100002020000 is an abundant number, since it is smaller than the sum of its proper divisors (561349750934880).

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

211100002020000 is a wasteful number, since it uses less digits than its factorization.

211100002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83215 (or 83189 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211100002020000 its reverse (20200001112), we get a palindrome (211120202021112).

The spelling of 211100002020000 in words is "two hundred eleven trillion, one hundred billion, two million, twenty thousand".