101000111001101 has 4 divisors (see below), whose sum is σ = 108769350308892. Its totient is φ = 93230871693312.

The previous prime is 101000111000993. The next prime is 101000111001151. The reversal of 101000111001101 is 101100111000101.

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 22498278265225 + 78501832735876 = 4743235^2 + 8860126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000111001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000111001151) 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, 3884619653876 + ... + 3884619653901.

It is an arithmetic number, because the mean of its divisors is an integer number (27192337577223).

Almost surely, 2^{101000111001101} is an apocalyptic number.

It is an amenable number.

101000111001101 is a deficient number, since it is larger than the sum of its proper divisors (7769239307791).

101000111001101 is an equidigital number, since it uses as much as digits as its factorization.

101000111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769239307790.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000111001101 its reverse (101100111000101), we get a palindrome (202100222001202).

The spelling of 101000111001101 in words is "one hundred one trillion, one hundred eleven million, one thousand, one hundred one".