101011110001001 has 16 divisors (see below), whose sum is σ = 107035611663360. Its totient is φ = 95057468125200.

The previous prime is 101011110000991. The next prime is 101011110001049. The reversal of 101011110001001 is 100100011110101.

It is a cyclic number.

It is not a de Polignac number, because 101011110001001 - 2⁶ = 101011110000937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011110001001.

It is not an unprimeable number, because it can be changed into a prime (101011100001001) 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, 78335450 + ... + 79614476.

It is an arithmetic number, because the mean of its divisors is an integer number (6689725728960).

Almost surely, 2^{101011110001001} is an apocalyptic number.

It is an amenable number.

101011110001001 is a deficient number, since it is larger than the sum of its proper divisors (6024501662359).

101011110001001 is a wasteful number, since it uses less digits than its factorization.

101011110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306724.

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

Adding to 101011110001001 its reverse (100100011110101), we get a palindrome (201111121111102).

The spelling of 101011110001001 in words is "one hundred one trillion, eleven billion, one hundred ten million, one thousand, one".