211022221120 has 112 divisors (see below), whose sum is σ = 507793294800. Its totient is φ = 83521290240.

The previous prime is 211022221099. The next prime is 211022221141. The reversal of 211022221120 is 21122220112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211022221099) and next prime (211022221141).

It can be written as a sum of positive squares in 8 ways, for example, as 5689986624 + 205332234496 = 75432^2 + 453136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211022221094 and 211022221103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28632796 + ... + 28640164.

Almost surely, 2^211022221120 is an apocalyptic number.

211022221120 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 211022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253896647400).

211022221120 is an abundant number, since it is smaller than the sum of its proper divisors (296771073680).

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

211022221120 is a wasteful number, since it uses less digits than its factorization.

211022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211022221120 its reverse (21122220112), we get a palindrome (232144441232).

The spelling of 211022221120 in words is "two hundred eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".