11112121112111 has 2 divisors, whose sum is σ = 11112121112112. Its totient is φ = 11112121112110.

The previous prime is 11112121112083. The next prime is 11112121112161. The reversal of 11112121112111 is 11121112121111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11112121112111 - 2³⁸ = 10837243205167 is a prime.

It is a super-2 number, since 2×11112121112111² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11112121112111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11112121112161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556060556055 + 5556060556056.

It is an arithmetic number, because the mean of its divisors is an integer number (5556060556056).

Almost surely, 2^{11112121112111} is an apocalyptic number.

11112121112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112121112111 is an equidigital number, since it uses as much as digits as its factorization.

11112121112111 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8, while the sum is 17.

Adding to 11112121112111 its reverse (11121112121111), we get a palindrome (22233233233222).

The spelling of 11112121112111 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eleven".