211111111101 has 32 divisors (see below), whose sum is σ = 329713099776. Its totient is φ = 118723808000.

The previous prime is 211111111091. The next prime is 211111111157. The reversal of 211111111101 is 101111111112.

It is a cyclic number.

It is not a de Polignac number, because 211111111101 - 2⁶ = 211111111037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111111171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610255 + ... + 2689916.

It is an arithmetic number, because the mean of its divisors is an integer number (10303534368).

Almost surely, 2^211111111101 is an apocalyptic number.

It is an amenable number.

211111111101 is a deficient number, since it is larger than the sum of its proper divisors (118601988675).

211111111101 is a wasteful number, since it uses less digits than its factorization.

211111111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300273.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 211111111101 its reverse (101111111112), we get a palindrome (312222222213).

It can be divided in two parts, 2111111 and 11101, that added together give a palindrome (2122212).

The spelling of 211111111101 in words is "two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred one".