211000222211100 has 576 divisors, whose sum is σ = 717184930560000. Its totient is φ = 47874171985920.

The previous prime is 211000222211087. The next prime is 211000222211111. The reversal of 211000222211100 is 1112222000112.

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 211000222211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30924842289 + ... + 30924849111.

Almost surely, 2^{211000222211100} is an apocalyptic number.

211000222211100 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 211000222211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358592465280000).

211000222211100 is an abundant number, since it is smaller than the sum of its proper divisors (506184708348900).

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

211000222211100 is a wasteful number, since it uses less digits than its factorization.

211000222211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211000222211100 its reverse (1112222000112), we get a palindrome (212112444211212).

The spelling of 211000222211100 in words is "two hundred eleven trillion, two hundred twenty-two million, two hundred eleven thousand, one hundred".