101100001101101 has 4 divisors (see below), whose sum is σ = 105495653322912. Its totient is φ = 96704348879292.

The previous prime is 101100001101023. The next prime is 101100001101107. The reversal of 101100001101101 is 101101100001101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101100001101101 - 2²⁶ = 101099933992237 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 (101100001101107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2197826110871 + ... + 2197826110916.

It is an arithmetic number, because the mean of its divisors is an integer number (26373913330728).

Almost surely, 2^{101100001101101} is an apocalyptic number.

It is an amenable number.

101100001101101 is a deficient number, since it is larger than the sum of its proper divisors (4395652221811).

101100001101101 is an equidigital number, since it uses as much as digits as its factorization.

101100001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395652221810.

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

Adding to 101100001101101 its reverse (101101100001101), we get a palindrome (202201101102202).

It can be divided in two parts, 101100001101 and 101, that multiplied together give a palindrome (10211100111201).

The spelling of 101100001101101 in words is "one hundred one trillion, one hundred billion, one million, one hundred one thousand, one hundred one".