100010111011001 has 8 divisors (see below), whose sum is σ = 102217276606464. Its totient is φ = 97825127984640.

The previous prime is 100010111010983. The next prime is 100010111011043. The reversal of 100010111011001 is 100110111010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010111011001 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 100010111011001.

It is not an unprimeable number, because it can be changed into a prime (100010111011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5545633160 + ... + 5545651193.

It is an arithmetic number, because the mean of its divisors is an integer number (12777159575808).

Almost surely, 2^{100010111011001} is an apocalyptic number.

It is an amenable number.

100010111011001 is a deficient number, since it is larger than the sum of its proper divisors (2207165595463).

100010111011001 is a wasteful number, since it uses less digits than its factorization.

100010111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091284551.

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

Adding to 100010111011001 its reverse (100110111010001), we get a palindrome (200120222021002).

The spelling of 100010111011001 in words is "one hundred trillion, ten billion, one hundred eleven million, eleven thousand, one".