101100000001001 has 16 divisors (see below), whose sum is σ = 104901668256000. Its totient is φ = 97368620227200.

The previous prime is 101100000000997. The next prime is 101100000001031. The reversal of 101100000001001 is 100100000001101.

It is a cyclic number.

It is not a de Polignac number, because 101100000001001 - 2² = 101100000000997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100000001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40527851 + ... + 42950048.

It is an arithmetic number, because the mean of its divisors is an integer number (6556354266000).

Almost surely, 2^{101100000001001} is an apocalyptic number.

It is an amenable number.

101100000001001 is a deficient number, since it is larger than the sum of its proper divisors (3801668254999).

101100000001001 is a wasteful number, since it uses less digits than its factorization.

101100000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83478320.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100000001001 its reverse (100100000001101), we get a palindrome (201200000002102).

The spelling of 101100000001001 in words is "one hundred one trillion, one hundred billion, one thousand, one".