11000101011111 has 12 divisors (see below), whose sum is σ = 16029645722688. Its totient is φ = 7268503322304.

The previous prime is 11000101011091. The next prime is 11000101011187. The reversal of 11000101011111 is 11111010100011.

It is not a de Polignac number, because 11000101011111 - 2¹⁵ = 11000100978343 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 = 11000101011093 and 11000101011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101011191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5408111575 + ... + 5408113608.

It is an arithmetic number, because the mean of its divisors is an integer number (1335803810224).

Almost surely, 2^{11000101011111} is an apocalyptic number.

11000101011111 is a deficient number, since it is larger than the sum of its proper divisors (5029544711577).

11000101011111 is a wasteful number, since it uses less digits than its factorization.

11000101011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816225302 (or 10816225299 counting only the distinct ones).

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

Adding to 11000101011111 its reverse (11111010100011), we get a palindrome (22111111111122).

The spelling of 11000101011111 in words is "eleven trillion, one hundred one million, eleven thousand, one hundred eleven".