211120122221020 has 96 divisors (see below), whose sum is σ = 466182508087296. Its totient is φ = 80155903027200.

The previous prime is 211120122221009. The next prime is 211120122221119. The reversal of 211120122221020 is 20122221021112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452012525 + ... + 1452157915.

It is an arithmetic number, because the mean of its divisors is an integer number (4856067792576).

Almost surely, 2^{211120122221020} is an apocalyptic number.

211120122221020 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 211120122221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233091254043648).

211120122221020 is an abundant number, since it is smaller than the sum of its proper divisors (255062385866276).

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

211120122221020 is a wasteful number, since it uses less digits than its factorization.

211120122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169651 (or 169649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211120122221020 its reverse (20122221021112), we get a palindrome (231242343242132).

The spelling of 211120122221020 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".