10110111100111 has 12 divisors (see below), whose sum is σ = 11128619574072. Its totient is φ = 9177898730000.

The previous prime is 10110111100081. The next prime is 10110111100121. The reversal of 10110111100111 is 11100111101101.

It is a happy number.

It is not a de Polignac number, because 10110111100111 - 2⁵ = 10110111100079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110111100121) 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 11 ways as a sum of consecutive naturals, for example, 59511925 + ... + 59681566.

It is an arithmetic number, because the mean of its divisors is an integer number (927384964506).

Almost surely, 2^{10110111100111} is an apocalyptic number.

10110111100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10110111100111 is a deficient number, since it is larger than the sum of its proper divisors (1018508473961).

10110111100111 is a wasteful number, since it uses less digits than its factorization.

10110111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119194214 (or 119194203 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10110111100111 its reverse (11100111101101), we get a palindrome (21210222201212).

It can be divided in two parts, 101101 and 11100111, that multiplied together give a palindrome (1122232322211).

The spelling of 10110111100111 in words is "ten trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, one hundred eleven".