1001101101 has 32 divisors (see below), whose sum is σ = 1792186368. Its totient is φ = 480047040.

The previous prime is 1001101067. The next prime is 1001101121. The reversal of 1001101101 is 1011011001.

It is not a de Polignac number, because 1001101101 - 2⁶ = 1001101037 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 1001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101121) 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, 163681 + ... + 169686.

It is an arithmetic number, because the mean of its divisors is an integer number (56005824).

Almost surely, 2^1001101101 is an apocalyptic number.

1001101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001101101 is a deficient number, since it is larger than the sum of its proper divisors (791085267).

1001101101 is a wasteful number, since it uses less digits than its factorization.

1001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333401.

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

The square root of 1001101101 is about 31640.1817472656. The cubic root of 1001101101 is about 1000.3668990353.

Adding to 1001101101 its reverse (1011011001), we get a palindrome (2012112102).

It can be divided in two parts, 1001 and 101101, that multiplied together give a palindrome (101202101).

The spelling of 1001101101 in words is "one billion, one million, one hundred one thousand, one hundred one".