211120122222100 has 108 divisors (see below), whose sum is σ = 573921932429244. Its totient is φ = 66816038661120.

The previous prime is 211120122222041. The next prime is 211120122222103. The reversal of 211120122222100 is 1222221021112.

It can be written as a sum of positive squares in 6 ways, for example, as 73151277333904 + 137968844888196 = 8552852^2 + 11746014^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120122222103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1657080117 + ... + 1657207516.

Almost surely, 2^{211120122222100} is an apocalyptic number.

211120122222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120122222100 is an abundant number, since it is smaller than the sum of its proper divisors (362801810207144).

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

211120122222100 is a wasteful number, since it uses less digits than its factorization.

211120122222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314287674 (or 3314287660 counting only the distinct ones).

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

Adding to 211120122222100 its reverse (1222221021112), we get a palindrome (212342343243212).

The spelling of 211120122222100 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".