10001111111001 has 12 divisors (see below), whose sum is σ = 14446130997012. Its totient is φ = 6667369739136.

The previous prime is 10001111110993. The next prime is 10001111111077. The reversal of 10001111111001 is 10011111110001.

It can be written as a sum of positive squares in 2 ways, for example, as 6662469542976 + 3338641568025 = 2581176^2 + 1827195^2 .

It is not a de Polignac number, because 10001111111001 - 2³ = 10001111110993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001111111701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1407196 + ... + 4688541.

It is an arithmetic number, because the mean of its divisors is an integer number (1203844249751).

Almost surely, 2^{10001111111001} is an apocalyptic number.

It is an amenable number.

10001111111001 is a deficient number, since it is larger than the sum of its proper divisors (4445019886011).

10001111111001 is a wasteful number, since it uses less digits than its factorization.

10001111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278040 (or 6278037 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10001111111001 its reverse (10011111110001), we get a palindrome (20012222221002).

It can be divided in two parts, 1000111 and 1111001, that added together give a palindrome (2111112).

The spelling of 10001111111001 in words is "ten trillion, one billion, one hundred eleven million, one hundred eleven thousand, one".