101100100111001 has 16 divisors (see below), whose sum is σ = 106939348069440. Its totient is φ = 95312788542720.

The previous prime is 101100100110959. The next prime is 101100100111019. The reversal of 101100100111001 is 100111001001101.

It is a de Polignac number, because none of the positive numbers 2^k-101100100111001 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 101100100111001.

It is not an unprimeable number, because it can be changed into a prime (101100100117001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29455421 + ... + 32708133.

It is an arithmetic number, because the mean of its divisors is an integer number (6683709254340).

Almost surely, 2^{101100100111001} is an apocalyptic number.

It is an amenable number.

101100100111001 is a deficient number, since it is larger than the sum of its proper divisors (5839247958439).

101100100111001 is a wasteful number, since it uses less digits than its factorization.

101100100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260696.

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

Adding to 101100100111001 its reverse (100111001001101), we get a palindrome (201211101112102).

The spelling of 101100100111001 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, one".