211133002220 has 144 divisors (see below), whose sum is σ = 529650666720. Its totient is φ = 70448716800.

The previous prime is 211133002159. The next prime is 211133002259. The reversal of 211133002220 is 22200331112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16829150 + ... + 16841690.

It is an arithmetic number, because the mean of its divisors is an integer number (3678129630).

Almost surely, 2^211133002220 is an apocalyptic number.

211133002220 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 211133002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264825333360).

211133002220 is an abundant number, since it is smaller than the sum of its proper divisors (318517664500).

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

211133002220 is a wasteful number, since it uses less digits than its factorization.

211133002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211133002220 its reverse (22200331112), we get a palindrome (233333333332).

The spelling of 211133002220 in words is "two hundred eleven billion, one hundred thirty-three million, two thousand, two hundred twenty".