1000011101101 has 8 divisors (see below), whose sum is σ = 1024453382904. Its totient is φ = 975571284480.

The previous prime is 1000011101083. The next prime is 1000011101153. The reversal of 1000011101101 is 1011011100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60078912100 + 939932189001 = 245110^2 + 969501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000011101101 - 2⁹ = 1000011100589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011101801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218581 + ... + 1431013.

It is an arithmetic number, because the mean of its divisors is an integer number (128056672863).

Almost surely, 2^{1000011101101} is an apocalyptic number.

It is an amenable number.

1000011101101 is a deficient number, since it is larger than the sum of its proper divisors (24442281803).

1000011101101 is a wasteful number, since it uses less digits than its factorization.

1000011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232591.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000011101101 its reverse (1011011100001), we get a palindrome (2011022201102).

The spelling of 1000011101101 in words is "one trillion, eleven million, one hundred one thousand, one hundred one".