11000101101 has 16 divisors (see below), whose sum is σ = 16516282368. Its totient is φ = 6451671600.

The previous prime is 11000101087. The next prime is 11000101117. The reversal of 11000101101 is 10110100011.

It is not a de Polignac number, because 11000101101 - 2⁶ = 11000101037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5375371 + ... + 5377416.

It is an arithmetic number, because the mean of its divisors is an integer number (1032267648).

Almost surely, 2^11000101101 is an apocalyptic number.

11000101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000101101 is a deficient number, since it is larger than the sum of its proper divisors (5516181267).

11000101101 is a wasteful number, since it uses less digits than its factorization.

11000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752832.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000101101 its reverse (10110100011), we get a palindrome (21110201112).

It can be divided in two parts, 11000 and 101101, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 11000101101 in words is "eleven billion, one hundred one thousand, one hundred one".