211121112111 has 64 divisors (see below), whose sum is σ = 356023320576. Its totient is φ = 108288576000.

The previous prime is 211121112107. The next prime is 211121112113. The reversal of 211121112111 is 111211121112.

It is not a de Polignac number, because 211121112111 - 2² = 211121112107 is a prime.

211121112111 is a modest number, since divided by 21112111 gives 2111 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121112113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21318261 + ... + 21328161.

It is an arithmetic number, because the mean of its divisors is an integer number (5562864384).

Almost surely, 2^211121112111 is an apocalyptic number.

211121112111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211121112111 is a deficient number, since it is larger than the sum of its proper divisors (144902208465).

211121112111 is a wasteful number, since it uses less digits than its factorization.

211121112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072.

The product of its digits is 8, while the sum is 15.

Adding to 211121112111 its reverse (111211121112), we get a palindrome (322332233223).

Subtracting from 211121112111 its reverse (111211121112), we obtain a palindrome (99909990999).

It can be divided in two parts, 211121112 and 111, that multiplied together give a palindrome (23434443432).

The spelling of 211121112111 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eleven".