110111012011 has 64 divisors (see below), whose sum is σ = 148816152576. Its totient is φ = 78680678400.

The previous prime is 110111011993. The next prime is 110111012023. The reversal of 110111012011 is 110210111011.

It is a cyclic number.

It is not a de Polignac number, because 110111012011 - 2¹³ = 110111003819 is a prime.

It is a super-3 number, since 3×110111012011³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110111012051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179626141 + ... + 179626753.

It is an arithmetic number, because the mean of its divisors is an integer number (2325252384).

Almost surely, 2^110111012011 is an apocalyptic number.

110111012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110111012011 is a deficient number, since it is larger than the sum of its proper divisors (38705140565).

110111012011 is a wasteful number, since it uses less digits than its factorization.

110111012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110111012011 its reverse (110210111011), we get a palindrome (220321123022).

The spelling of 110111012011 in words is "one hundred ten billion, one hundred eleven million, twelve thousand, eleven".