11121012111 has 64 divisors (see below), whose sum is σ = 17387260416. Its totient is φ = 6300208640.

The previous prime is 11121012109. The next prime is 11121012157.

11121012111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11121012111 - 2¹ = 11121012109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121012211) 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, 11742940 + ... + 11743886.

It is an arithmetic number, because the mean of its divisors is an integer number (271675944).

Almost surely, 2^11121012111 is an apocalyptic number.

11121012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121012111 is a deficient number, since it is larger than the sum of its proper divisors (6266248305).

11121012111 is a wasteful number, since it uses less digits than its factorization.

11121012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 111210 and 12111, that added together give a palindrome (123321).

The spelling of 11121012111 in words is "eleven billion, one hundred twenty-one million, twelve thousand, one hundred eleven".