10110111111001 has 12 divisors (see below), whose sum is σ = 11495965616100. Its totient is φ = 8874078715040.

The previous prime is 10110111110993. The next prime is 10110111111013. The reversal of 10110111111001 is 10011111101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7460300136025 + 2649810974976 = 2731355^2 + 1627824^2 .

It is not a de Polignac number, because 10110111111001 - 2³ = 10110111110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110111111041) 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, 1440593686 + ... + 1440600703.

It is an arithmetic number, because the mean of its divisors is an integer number (957997134675).

Almost surely, 2^{10110111111001} is an apocalyptic number.

10110111111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110111111001 is a deficient number, since it is larger than the sum of its proper divisors (1385854505099).

10110111111001 is a wasteful number, since it uses less digits than its factorization.

10110111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881194440 (or 2881194429 counting only the distinct ones).

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

Adding to 10110111111001 its reverse (10011111101101), we get a palindrome (20121222212102).

It can be divided in two parts, 10110 and 111111001, that added together give a palindrome (111121111).

The spelling of 10110111111001 in words is "ten trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one".