110012112112111 has 24 divisors (see below), whose sum is σ = 121366128642192. Its totient is φ = 99644195481600.

The previous prime is 110012112112033. The next prime is 110012112112121. The reversal of 110012112112111 is 111211211210011.

It is not a de Polignac number, because 110012112112111 - 2¹⁵ = 110012112079343 is a prime.

It is a super-2 number, since 2×110012112112111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012112112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138971055 + ... + 139760431.

It is an arithmetic number, because the mean of its divisors is an integer number (5056922026758).

Almost surely, 2^{110012112112111} is an apocalyptic number.

110012112112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110012112112111 is a deficient number, since it is larger than the sum of its proper divisors (11354016530081).

110012112112111 is a wasteful number, since it uses less digits than its factorization.

110012112112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793623 (or 793612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 110012112112111 its reverse (111211211210011), we get a palindrome (221223323322122).

The spelling of 110012112112111 in words is "one hundred ten trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred eleven".