211055121 has 12 divisors (see below), whose sum is σ = 305149572. Its totient is φ = 140568576.

The previous prime is 211055093. The next prime is 211055123. The reversal of 211055121 is 121550112.

211055121 is a `hidden beast` number, since 2 + 110 + 551 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33872400 + 177182721 = 5820^2 + 13311^2 .

It is not a de Polignac number, because 211055121 - 2¹⁵ = 211022353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211055094 and 211055103.

It is not an unprimeable number, because it can be changed into a prime (211055123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816 + ... + 20561.

It is an arithmetic number, because the mean of its divisors is an integer number (25429131).

Almost surely, 2^211055121 is an apocalyptic number.

It is an amenable number.

211055121 is a deficient number, since it is larger than the sum of its proper divisors (94094451).

211055121 is a wasteful number, since it uses less digits than its factorization.

211055121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22480 (or 22477 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 211055121 is about 14527.7362655026. The cubic root of 211055121 is about 595.3860178989.

The spelling of 211055121 in words is "two hundred eleven million, fifty-five thousand, one hundred twenty-one".