10001111101011 has 24 divisors (see below), whose sum is σ = 14500969626000. Its totient is φ = 6642103721472.

The previous prime is 10001111101001. The next prime is 10001111101031. The reversal of 10001111101011 is 11010111110001.

It is not a de Polignac number, because 10001111101011 - 2²⁷ = 10000976883283 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001111100984 and 10001111101002.

It is not an unprimeable number, because it can be changed into a prime (10001111101001) 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 23 ways as a sum of consecutive naturals, for example, 881995 + ... + 4558523.

It is an arithmetic number, because the mean of its divisors is an integer number (604207067750).

Almost surely, 2^{10001111101011} is an apocalyptic number.

10001111101011 is a deficient number, since it is larger than the sum of its proper divisors (4499858524989).

10001111101011 is a wasteful number, since it uses less digits than its factorization.

10001111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677683 (or 3677680 counting only the distinct ones).

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

Adding to 10001111101011 its reverse (11010111110001), we get a palindrome (21011222211012).

The spelling of 10001111101011 in words is "ten trillion, one billion, one hundred eleven million, one hundred one thousand, eleven".