211011122111101 has 8 divisors (see below), whose sum is σ = 227242861303640. Its totient is φ = 194779399263552.

The previous prime is 211011122111099. The next prime is 211011122111171. The reversal of 211011122111101 is 101111221110112.

It can be written as a sum of positive squares in 4 ways, for example, as 23136811885476 + 187874310225625 = 4810074^2 + 13706725^2 .

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 211011122111101 - 2¹ = 211011122111099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011122111171) 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 7 ways as a sum of consecutive naturals, for example, 41864911 + ... + 46633603.

It is an arithmetic number, because the mean of its divisors is an integer number (28405357662955).

Almost surely, 2^{211011122111101} is an apocalyptic number.

It is an amenable number.

211011122111101 is a deficient number, since it is larger than the sum of its proper divisors (16231739192539).

211011122111101 is a wasteful number, since it uses less digits than its factorization.

211011122111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172495.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211011122111101 its reverse (101111221110112), we get a palindrome (312122343221213).

The spelling of 211011122111101 in words is "two hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".