100101110001 has 4 divisors (see below), whose sum is σ = 133468146672. Its totient is φ = 66734073332.

The previous prime is 100101109981. The next prime is 100101110027. The reversal of 100101110001 is 100011101001.

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 100101110001 - 2⁶ = 100101109937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101111001) 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, 16683518331 + ... + 16683518336.

It is an arithmetic number, because the mean of its divisors is an integer number (33367036668).

Almost surely, 2^100101110001 is an apocalyptic number.

It is an amenable number.

100101110001 is a deficient number, since it is larger than the sum of its proper divisors (33367036671).

100101110001 is an equidigital number, since it uses as much as digits as its factorization.

100101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33367036670.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101110001 its reverse (100011101001), we get a palindrome (200112211002).

The spelling of 100101110001 in words is "one hundred billion, one hundred one million, one hundred ten thousand, one".