1101001101 has 16 divisors (see below), whose sum is σ = 1486725888. Its totient is φ = 724680000.

The previous prime is 1101001087. The next prime is 1101001123. The reversal of 1101001101 is 1011001011.

It is not a de Polignac number, because 1101001101 - 2¹⁰ = 1101000077 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106251 + ... + 116151.

It is an arithmetic number, because the mean of its divisors is an integer number (92920368).

Almost surely, 2^1101001101 is an apocalyptic number.

It is an amenable number.

1101001101 is a deficient number, since it is larger than the sum of its proper divisors (385724787).

1101001101 is a wasteful number, since it uses less digits than its factorization.

1101001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372.

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

The square root of 1101001101 is about 33181.3366367300. The cubic root of 1101001101 is about 1032.5931770663.

Adding to 1101001101 its reverse (1011001011), we get a palindrome (2112002112).

It can be divided in two parts, 110100 and 1101, that multiplied together give a square (121220100 = 11010²).

The spelling of 1101001101 in words is "one billion, one hundred one million, one thousand, one hundred one".