211120211100220 has 24 divisors (see below), whose sum is σ = 443409716913408. Its totient is φ = 84437175182400.

The previous prime is 211120211100203. The next prime is 211120211100263. The reversal of 211120211100220 is 22001112021112.

It is a super-2 number, since 2×211120211100220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211120211100194 and 211120211100203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681669916 + ... + 681979555.

It is an arithmetic number, because the mean of its divisors is an integer number (18475404871392).

Almost surely, 2^{211120211100220} is an apocalyptic number.

211120211100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120211100220 is an abundant number, since it is smaller than the sum of its proper divisors (232289505813188).

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

211120211100220 is a wasteful number, since it uses less digits than its factorization.

211120211100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363657221 (or 1363657219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211120211100220 its reverse (22001112021112), we get a palindrome (233121323121332).

The spelling of 211120211100220 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred eleven million, one hundred thousand, two hundred twenty".