211102221120 has 448 divisors, whose sum is σ = 810603749376. Its totient is φ = 45501603840.

The previous prime is 211102221103. The next prime is 211102221131. The reversal of 211102221120 is 21122201112.

It is a tau number, because it is divible by the number of its divisors (448).

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 211102221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10964142 + ... + 10983378.

Almost surely, 2^211102221120 is an apocalyptic number.

211102221120 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 211102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405301874688).

211102221120 is an abundant number, since it is smaller than the sum of its proper divisors (599501528256).

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

211102221120 is a wasteful number, since it uses less digits than its factorization.

211102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19358 (or 19348 counting only the distinct ones).

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

Adding to 211102221120 its reverse (21122201112), we get a palindrome (232224422232).

The spelling of 211102221120 in words is "two hundred eleven billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".