1000100001101 has 8 divisors (see below), whose sum is σ = 1006868297400. Its totient is φ = 993354006528.

The previous prime is 1000100001041. The next prime is 1000100001133. The reversal of 1000100001101 is 1011000010001.

It can be written as a sum of positive squares in 4 ways, for example, as 313041369001 + 687058632100 = 559501^2 + 828890^2 .

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 1000100001101 - 2²² = 1000095806797 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 (1000100001301) 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, 5485436 + ... + 5664821.

It is an arithmetic number, because the mean of its divisors is an integer number (125858537175).

Almost surely, 2^{1000100001101} is an apocalyptic number.

It is an amenable number.

1000100001101 is a deficient number, since it is larger than the sum of its proper divisors (6768296299).

1000100001101 is a wasteful number, since it uses less digits than its factorization.

1000100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150863.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000100001101 its reverse (1011000010001), we get a palindrome (2011100011102).

The spelling of 1000100001101 in words is "one trillion, one hundred million, one thousand, one hundred one".