211042331100200 has 384 divisors, whose sum is σ = 526117520073600. Its totient is φ = 78452183040000.

The previous prime is 211042331100119. The next prime is 211042331100257. The reversal of 211042331100200 is 2001133240112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93093219467 + ... + 93093221733.

It is an arithmetic number, because the mean of its divisors is an integer number (1370097708525).

Almost surely, 2^{211042331100200} is an apocalyptic number.

211042331100200 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 211042331100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263058760036800).

211042331100200 is an abundant number, since it is smaller than the sum of its proper divisors (315075188973400).

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

211042331100200 is a wasteful number, since it uses less digits than its factorization.

211042331100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211042331100200 its reverse (2001133240112), we get a palindrome (213043464340312).

The spelling of 211042331100200 in words is "two hundred eleven trillion, forty-two billion, three hundred thirty-one million, one hundred thousand, two hundred".