10000111001101 has 8 divisors (see below), whose sum is σ = 10771106362520. Its totient is φ = 9229366504512.

The previous prime is 10000111001093. The next prime is 10000111001147. The reversal of 10000111001101 is 10110011100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2241685695076 + 7758425306025 = 1497226^2 + 2785395^2 .

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 10000111001101 - 2³ = 10000111001093 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 (10000111001171) 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 7 ways as a sum of consecutive naturals, for example, 62633406 + ... + 62792863.

It is an arithmetic number, because the mean of its divisors is an integer number (1346388295315).

Almost surely, 2^{10000111001101} is an apocalyptic number.

It is an amenable number.

10000111001101 is a deficient number, since it is larger than the sum of its proper divisors (770995361419).

10000111001101 is a wasteful number, since it uses less digits than its factorization.

10000111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125432415.

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

Adding to 10000111001101 its reverse (10110011100001), we get a palindrome (20110122101102).

The spelling of 10000111001101 in words is "ten trillion, one hundred eleven million, one thousand, one hundred one".