11211101110111 has 8 divisors (see below), whose sum is σ = 13074170391200. Its totient is φ = 9609515236944.

The previous prime is 11211101110073. The next prime is 11211101110243. The reversal of 11211101110111 is 11101110111211.

It is not a de Polignac number, because 11211101110111 - 2¹⁵ = 11211101077343 is a prime.

It is a super-2 number, since 2×11211101110111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211101110091 and 11211101110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211101110511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16342712646 + ... + 16342713331.

It is an arithmetic number, because the mean of its divisors is an integer number (1634271298900).

Almost surely, 2^{11211101110111} is an apocalyptic number.

11211101110111 is a deficient number, since it is larger than the sum of its proper divisors (1863069281089).

11211101110111 is an frugal number, since it uses more digits than its factorization.

11211101110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32685425998 (or 32685425984 counting only the distinct ones).

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

Adding to 11211101110111 its reverse (11101110111211), we get a palindrome (22312211221322).

The spelling of 11211101110111 in words is "eleven trillion, two hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred eleven".