211122002020200 has 192 divisors, whose sum is σ = 673618603388160. Its totient is φ = 54659287710720.

The previous prime is 211122002020199. The next prime is 211122002020229. The reversal of 211122002020200 is 2020200221112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211122002020200.

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, 8622 + ... + 20548578.

It is an arithmetic number, because the mean of its divisors is an integer number (3508430225980).

Almost surely, 2^{211122002020200} is an apocalyptic number.

211122002020200 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 211122002020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336809301694080).

211122002020200 is an abundant number, since it is smaller than the sum of its proper divisors (462496601367960).

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

211122002020200 is a wasteful number, since it uses less digits than its factorization.

211122002020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540476 (or 20540467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211122002020200 its reverse (2020200221112), we get a palindrome (213142202241312).

The spelling of 211122002020200 in words is "two hundred eleven trillion, one hundred twenty-two billion, two million, twenty thousand, two hundred".