11111112112111 has 8 divisors (see below), whose sum is σ = 12241225226448. Its totient is φ = 10001001000000.

The previous prime is 11111112112097. The next prime is 11111112112127. The reversal of 11111112112111 is 11121121111111.

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 11111112112111 - 2²⁷ = 11110977894383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111112112181) 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, 5000499390 + ... + 5000501611.

It is an arithmetic number, because the mean of its divisors is an integer number (1530153153306).

Almost surely, 2^{11111112112111} is an apocalyptic number.

11111112112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111112112111 is a deficient number, since it is larger than the sum of its proper divisors (1130113114337).

11111112112111 is a wasteful number, since it uses less digits than its factorization.

11111112112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001001113.

The product of its digits is 4, while the sum is 16.

Adding to 11111112112111 its reverse (11121121111111), we get a palindrome (22232233223222).

It can be divided in two parts, 1111 and 1112112111, that multiplied together give a palindrome (1235556555321).

The spelling of 11111112112111 in words is "eleven trillion, one hundred eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred eleven".