110100111111111 has 256 divisors, whose sum is σ = 180201004093440. Its totient is φ = 59181281280000.

The previous prime is 110100111111061. The next prime is 110100111111119. The reversal of 110100111111111 is 111111111001011.

It is not a de Polignac number, because 110100111111111 - 2⁶ = 110100111111047 is a prime.

110100111111111 is a modest number, since divided by 11111111 gives 1101001 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100111111119) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90766785141 + ... + 90766786353.

It is an arithmetic number, because the mean of its divisors is an integer number (703910172240).

Almost surely, 2^{110100111111111} is an apocalyptic number.

110100111111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100111111111 is a deficient number, since it is larger than the sum of its proper divisors (70100892982329).

110100111111111 is a wasteful number, since it uses less digits than its factorization.

110100111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 110100111111111 its reverse (111111111001011), we get a palindrome (221211222112122).

The spelling of 110100111111111 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".