211011121105 has 8 divisors (see below), whose sum is σ = 255536404200. Its totient is φ = 167260190976.

The previous prime is 211011121073. The next prime is 211011121117. The reversal of 211011121105 is 501121110112.

211011121105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40141324609 + 170869796496 = 200353^2 + 413364^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211011121105 - 2⁵ = 211011121073 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193587640 + ... + 193588729.

It is an arithmetic number, because the mean of its divisors is an integer number (31942050525).

Almost surely, 2^211011121105 is an apocalyptic number.

It is an amenable number.

211011121105 is a deficient number, since it is larger than the sum of its proper divisors (44525283095).

211011121105 is a wasteful number, since it uses less digits than its factorization.

211011121105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387176483.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 211011121105 its reverse (501121110112), we get a palindrome (712132231217).

The spelling of 211011121105 in words is "two hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred five".