101101100011001 has 4 divisors (see below), whose sum is σ = 101182830893412. Its totient is φ = 101019369128592.

The previous prime is 101101100010979. The next prime is 101101100011013. The reversal of 101101100011001 is 100110001101101.

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 86514200292601 + 14586899718400 = 9301301^2 + 3819280^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101100011001 - 2⁴⁶ = 30732355833337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101100011001.

It is not an unprimeable number, because it can be changed into a prime (101101100001001) 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, 40865439350 + ... + 40865441823.

It is an arithmetic number, because the mean of its divisors is an integer number (25295707723353).

Almost surely, 2^{101101100011001} is an apocalyptic number.

It is an amenable number.

101101100011001 is a deficient number, since it is larger than the sum of its proper divisors (81730882411).

101101100011001 is an equidigital number, since it uses as much as digits as its factorization.

101101100011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81730882410.

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

Adding to 101101100011001 its reverse (100110001101101), we get a palindrome (201211101112102).

It can be divided in two parts, 10 and 1101100011001, that added together give a palindrome (1101100011011).

The spelling of 101101100011001 in words is "one hundred one trillion, one hundred one billion, one hundred million, eleven thousand, one".