100110001111001 has 8 divisors (see below), whose sum is σ = 114413582434944. Its totient is φ = 85806957935520.

The previous prime is 100110001110947. The next prime is 100110001111007. The reversal of 100110001111001 is 100111100011001.

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

It is a cyclic number.

It is not a de Polignac number, because 100110001111001 - 2¹⁰ = 100110001109977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100110001111001.

It is not an unprimeable number, because it can be changed into a prime (100110001111007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134138405 + ... + 134882658.

It is an arithmetic number, because the mean of its divisors is an integer number (14301697804368).

Almost surely, 2^{100110001111001} is an apocalyptic number.

It is an amenable number.

100110001111001 is a deficient number, since it is larger than the sum of its proper divisors (14303581323943).

100110001111001 is an equidigital number, since it uses as much as digits as its factorization.

100110001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269074231.

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

Adding to 100110001111001 its reverse (100111100011001), we get a palindrome (200221101122002).

The spelling of 100110001111001 in words is "one hundred trillion, one hundred ten billion, one million, one hundred eleven thousand, one".