10111111111001 has 2 divisors, whose sum is σ = 10111111111002. Its totient is φ = 10111111111000.

The previous prime is 10111111110941. The next prime is 10111111111007. The reversal of 10111111111001 is 10011111111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10109531843401 + 1579267600 = 3179549^2 + 39740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111111111001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111111111007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055555555500 + 5055555555501.

It is an arithmetic number, because the mean of its divisors is an integer number (5055555555501).

Almost surely, 2^{10111111111001} is an apocalyptic number.

It is an amenable number.

10111111111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111111111001 is an equidigital number, since it uses as much as digits as its factorization.

10111111111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111111111001 its reverse (10011111111101), we get a palindrome (20122222222102).

It can be divided in two parts, 1011111111100 and 1, that added together give a palindrome (1011111111101).

The spelling of 10111111111001 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one".