211122102221120 has 28 divisors (see below), whose sum is σ = 502734505914804. Its totient is φ = 84448840888320.

The previous prime is 211122102221101. The next prime is 211122102221141. The reversal of 211122102221120 is 21122201221112.

It can be written as a sum of positive squares in 2 ways, for example, as 67651151401024 + 143470950820096 = 8225032^2 + 11977936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211122102221092 and 211122102221101.

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 3 ways as a sum of consecutive naturals, for example, 329878284401 + ... + 329878285040.

Almost surely, 2^{211122102221120} is an apocalyptic number.

211122102221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122102221120 is an abundant number, since it is smaller than the sum of its proper divisors (291612403693684).

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

211122102221120 is an equidigital number, since it uses as much as digits as its factorization.

211122102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659756569458 (or 659756569448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211122102221120 its reverse (21122201221112), we get a palindrome (232244303442232).

The spelling of 211122102221120 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".