101101101111001 has 4 divisors (see below), whose sum is σ = 101319462020992. Its totient is φ = 100882740201012.

The previous prime is 101101101110963. The next prime is 101101101111011. The reversal of 101101101111001 is 100111101101101.

It is a happy number.

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 101101101111001 - 2⁹ = 101101101110489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101101111011) 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, 109180454301 + ... + 109180455226.

It is an arithmetic number, because the mean of its divisors is an integer number (25329865505248).

Almost surely, 2^{101101101111001} is an apocalyptic number.

It is an amenable number.

101101101111001 is a deficient number, since it is larger than the sum of its proper divisors (218360909991).

101101101111001 is an equidigital number, since it uses as much as digits as its factorization.

101101101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218360909990.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101101111001 its reverse (100111101101101), we get a palindrome (201212202212102).

The spelling of 101101101111001 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one".