211011101011111 has 8 divisors (see below), whose sum is σ = 211344666069600. Its totient is φ = 210677637213600.

The previous prime is 211011101011069. The next prime is 211011101011199. The reversal of 211011101011111 is 111110101110112.

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 211011101011111 - 2²⁹ = 211010564140199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211011101011091 and 211011101011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011101011411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21143740 + ... + 29480161.

It is an arithmetic number, because the mean of its divisors is an integer number (26418083258700).

Almost surely, 2^{211011101011111} is an apocalyptic number.

211011101011111 is a deficient number, since it is larger than the sum of its proper divisors (333565058489).

211011101011111 is an equidigital number, since it uses as much as digits as its factorization.

211011101011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50630489.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 211011101011111 its reverse (111110101110112), we get a palindrome (322121202121223).

Subtracting from 211011101011111 its reverse (111110101110112), we obtain a palindrome (99900999900999).

The spelling of 211011101011111 in words is "two hundred eleven trillion, eleven billion, one hundred one million, eleven thousand, one hundred eleven".