100101100001101 has 16 divisors (see below), whose sum is σ = 103751631599616. Its totient is φ = 96476982750000.

The previous prime is 100101100001093. The next prime is 100101100001153. The reversal of 100101100001101 is 101100001101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101100001101 - 2³ = 100101100001093 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 (100101100007101) 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 15 ways as a sum of consecutive naturals, for example, 82585006 + ... + 83788336.

It is an arithmetic number, because the mean of its divisors is an integer number (6484476974976).

Almost surely, 2^{100101100001101} is an apocalyptic number.

It is an amenable number.

100101100001101 is a deficient number, since it is larger than the sum of its proper divisors (3650531598515).

100101100001101 is a wasteful number, since it uses less digits than its factorization.

100101100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214304.

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

Adding to 100101100001101 its reverse (101100001101001), we get a palindrome (201201101102102).

The spelling of 100101100001101 in words is "one hundred trillion, one hundred one billion, one hundred million, one thousand, one hundred one".