101112120110111 has 16 divisors (see below), whose sum is σ = 118772145089280. Its totient is φ = 85046721156480.

The previous prime is 101112120110081. The next prime is 101112120110257. The reversal of 101112120110111 is 111011021211101.

It is a cyclic number.

It is not a de Polignac number, because 101112120110111 - 2¹⁴ = 101112120093727 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 (101112120110611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4582247651 + ... + 4582269716.

It is an arithmetic number, because the mean of its divisors is an integer number (7423259068080).

Almost surely, 2^{101112120110111} is an apocalyptic number.

101112120110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112120110111 is a deficient number, since it is larger than the sum of its proper divisors (17660024979169).

101112120110111 is a wasteful number, since it uses less digits than its factorization.

101112120110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164517454.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101112120110111 its reverse (111011021211101), we get a palindrome (212123141321212).

The spelling of 101112120110111 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred ten thousand, one hundred eleven".