100110011101001 has 4 divisors (see below), whose sum is σ = 109210921201104. Its totient is φ = 91009101000900.

The previous prime is 100110011100917. The next prime is 100110011101031. The reversal of 100110011101001 is 100101110011001.

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 100110011101001 - 2³⁰ = 100108937359177 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 100110011101001.

It is not an unprimeable number, because it can be changed into a prime (100110011101031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550455050035 + ... + 4550455050056.

It is an arithmetic number, because the mean of its divisors is an integer number (27302730300276).

Almost surely, 2^{100110011101001} is an apocalyptic number.

100110011101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110011101001 is a deficient number, since it is larger than the sum of its proper divisors (9100910100103).

100110011101001 is an equidigital number, since it uses as much as digits as its factorization.

100110011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100910100102.

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

Adding to 100110011101001 its reverse (100101110011001), we get a palindrome (200211121112002).

The spelling of 100110011101001 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred one thousand, one".