101100001001101 has 4 divisors (see below), whose sum is σ = 101418928449372. Its totient is φ = 100781073552832.

The previous prime is 101100001001053. The next prime is 101100001001171. The reversal of 101100001001101 is 101100100001101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58859737440100 + 42240263561001 = 7672010^2 + 6499251^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100001001101 - 2⁹ = 101100001000589 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 (101100001001171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159463723660 + ... + 159463724293.

It is an arithmetic number, because the mean of its divisors is an integer number (25354732112343).

Almost surely, 2^{101100001001101} is an apocalyptic number.

It is an amenable number.

101100001001101 is a deficient number, since it is larger than the sum of its proper divisors (318927448271).

101100001001101 is an equidigital number, since it uses as much as digits as its factorization.

101100001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318927448270.

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

Adding to 101100001001101 its reverse (101100100001101), we get a palindrome (202200101002202).

The spelling of 101100001001101 in words is "one hundred one trillion, one hundred billion, one million, one thousand, one hundred one".