100110010001 has 8 divisors (see below), whose sum is σ = 102930148608. Its totient is φ = 97307892000.

The previous prime is 100110009983. The next prime is 100110010003. The reversal of 100110010001 is 100010011001.

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 100110010001 - 2²⁶ = 100042901137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4493885 + ... + 4516106.

It is an arithmetic number, because the mean of its divisors is an integer number (12866268576).

Almost surely, 2^100110010001 is an apocalyptic number.

It is an amenable number.

100110010001 is a deficient number, since it is larger than the sum of its proper divisors (2820138607).

100110010001 is an equidigital number, since it uses as much as digits as its factorization.

100110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010303.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100110010001 its reverse (100010011001), we get a palindrome (200120021002).

It can be divided in two parts, 1001100 and 10001, that added together give a palindrome (1011101).

The spelling of 100110010001 in words is "one hundred billion, one hundred ten million, ten thousand, one".