10001001111011 has 2 divisors, whose sum is σ = 10001001111012. Its totient is φ = 10001001111010.

The previous prime is 10001001111001. The next prime is 10001001111071. The reversal of 10001001111011 is 11011110010001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001001111011 - 2²² = 10000996916707 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001001111011.

It is not a weakly prime, because it can be changed into another prime (10001001111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500555505 + 5000500555506.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500555506).

Almost surely, 2^{10001001111011} is an apocalyptic number.

10001001111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001111011 is an equidigital number, since it uses as much as digits as its factorization.

10001001111011 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 8.

Adding to 10001001111011 its reverse (11011110010001), we get a palindrome (21012111121012).

The spelling of 10001001111011 in words is "ten trillion, one billion, one million, one hundred eleven thousand, eleven".