11011111000101 has 12 divisors (see below), whose sum is σ = 15925513720428. Its totient is φ = 7331244231744.

The previous prime is 11011111000079. The next prime is 11011111000111. The reversal of 11011111000101 is 10100011111011.

It can be written as a sum of positive squares in 2 ways, for example, as 6144454397601 + 4866656602500 = 2478801^2 + 2206050^2 .

It is not a de Polignac number, because 11011111000101 - 2⁶ = 11011111000037 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111000111) 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, 791362240 + ... + 791376153.

It is an arithmetic number, because the mean of its divisors is an integer number (1327126143369).

Almost surely, 2^{11011111000101} is an apocalyptic number.

It is an amenable number.

11011111000101 is a deficient number, since it is larger than the sum of its proper divisors (4914402720327).

11011111000101 is a wasteful number, since it uses less digits than its factorization.

11011111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582739172 (or 1582739169 counting only the distinct ones).

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

Adding to 11011111000101 its reverse (10100011111011), we get a palindrome (21111122111112).

The spelling of 11011111000101 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.