101101100111001 has 12 divisors (see below), whose sum is σ = 146035100331328. Its totient is φ = 67400651277144.

The previous prime is 101101100110993. The next prime is 101101100111017. The reversal of 101101100111001 is 100111001101101.

It is not a de Polignac number, because 101101100111001 - 2³ = 101101100110993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101100111041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485636 + ... + 14297178.

Almost surely, 2^{101101100111001} is an apocalyptic number.

It is an amenable number.

101101100111001 is a deficient number, since it is larger than the sum of its proper divisors (44934000220327).

101101100111001 is a wasteful number, since it uses less digits than its factorization.

101101100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13688372 (or 13688369 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101100111001 its reverse (100111001101101), we get a palindrome (201212101212102).

It can be divided in two parts, 101101100 and 111001, that added together give a palindrome (101212101).

The spelling of 101101100111001 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one".