100110404011001 has 4 divisors (see below), whose sum is σ = 100110424617600. Its totient is φ = 100110383404404.

The previous prime is 100110404010943. The next prime is 100110404011049.

100110404011001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100110404011001 - 2¹⁸ = 100110403748857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110404011081) 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 3 ways as a sum of consecutive naturals, for example, 1462880 + ... + 14225358.

It is an arithmetic number, because the mean of its divisors is an integer number (25027606154400).

Almost surely, 2^{100110404011001} is an apocalyptic number.

It is an amenable number.

100110404011001 is a deficient number, since it is larger than the sum of its proper divisors (20606599).

100110404011001 is an equidigital number, since it uses as much as digits as its factorization.

100110404011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20606598.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10011040 and 4011001, that added together give a palindrome (14022041).

The spelling of 100110404011001 in words is "one hundred trillion, one hundred ten billion, four hundred four million, eleven thousand, one".