211100122211011 has 32 divisors (see below), whose sum is σ = 235599387448320. Its totient is φ = 187536784032000.

The previous prime is 211100122210979. The next prime is 211100122211129. The reversal of 211100122211011 is 110112221001112.

It is a cyclic number.

It is not a de Polignac number, because 211100122211011 - 2⁵ = 211100122210979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211100122211611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245587471 + ... + 246445543.

It is an arithmetic number, because the mean of its divisors is an integer number (7362480857760).

Almost surely, 2^{211100122211011} is an apocalyptic number.

211100122211011 is a deficient number, since it is larger than the sum of its proper divisors (24499265237309).

211100122211011 is a wasteful number, since it uses less digits than its factorization.

211100122211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861067.

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

Adding to 211100122211011 its reverse (110112221001112), we get a palindrome (321212343212123).

The spelling of 211100122211011 in words is "two hundred eleven trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, eleven".