110110012101111 has 16 divisors (see below), whose sum is σ = 164488666727808. Its totient is φ = 64929736864800.

The previous prime is 110110012101083. The next prime is 110110012101139. The reversal of 110110012101111 is 111101210011011.

It is an interprime number because it is at equal distance from previous prime (110110012101083) and next prime (110110012101139).

It is not a de Polignac number, because 110110012101111 - 2¹³ = 110110012092919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110012101151) 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 15 ways as a sum of consecutive naturals, for example, 45090093825 + ... + 45090096266.

It is an arithmetic number, because the mean of its divisors is an integer number (10280541670488).

Almost surely, 2^{110110012101111} is an apocalyptic number.

110110012101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110110012101111 is a deficient number, since it is larger than the sum of its proper divisors (54378654626697).

110110012101111 is a wasteful number, since it uses less digits than its factorization.

110110012101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90180190142.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110110012101111 its reverse (111101210011011), we get a palindrome (221211222112122).

The spelling of 110110012101111 in words is "one hundred ten trillion, one hundred ten billion, twelve million, one hundred one thousand, one hundred eleven".