10001011101011 has 48 divisors (see below), whose sum is σ = 12077755257600. Its totient is φ = 8100376857216.

The previous prime is 10001011100939. The next prime is 10001011101031. The reversal of 10001011101011 is 11010111010001.

It is not a de Polignac number, because 10001011101011 - 2¹⁴ = 10001011084627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001011101011.

It is not an unprimeable number, because it can be changed into a prime (10001011101031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628077896 + ... + 628093818.

It is an arithmetic number, because the mean of its divisors is an integer number (251619901200).

Almost surely, 2^{10001011101011} is an apocalyptic number.

10001011101011 is a deficient number, since it is larger than the sum of its proper divisors (2076744156589).

10001011101011 is an equidigital number, since it uses as much as digits as its factorization.

10001011101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16247 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001011101011 its reverse (11010111010001), we get a palindrome (21011122111012).

The spelling of 10001011101011 in words is "ten trillion, one billion, eleven million, one hundred one thousand, eleven".