11000110111001 has 32 divisors (see below), whose sum is σ = 12436744199040. Its totient is φ = 9642448076800.

The previous prime is 11000110110923. The next prime is 11000110111019. The reversal of 11000110111001 is 10011101100011.

It is not a de Polignac number, because 11000110111001 - 2³⁴ = 10982930241817 is a prime.

It is a super-4 number, since 4×11000110111001⁴ (a number of 53 digits) contains 4444 as substring.

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 11000110111001.

It is not an unprimeable number, because it can be changed into a prime (11000110111031) 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 31 ways as a sum of consecutive naturals, for example, 17684210 + ... + 18295668.

It is an arithmetic number, because the mean of its divisors is an integer number (388648256220).

Almost surely, 2^{11000110111001} is an apocalyptic number.

11000110111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000110111001 is a deficient number, since it is larger than the sum of its proper divisors (1436634088039).

11000110111001 is a wasteful number, since it uses less digits than its factorization.

11000110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611977.

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

Adding to 11000110111001 its reverse (10011101100011), we get a palindrome (21011211211012).

It can be divided in two parts, 11000110 and 111001, that added together give a palindrome (11111111).

The spelling of 11000110111001 in words is "eleven trillion, one hundred ten million, one hundred eleven thousand, one".