100000100101001 has 8 divisors (see below), whose sum is σ = 100249808608584. Its totient is φ = 99750449312640.

The previous prime is 100000100100991. The next prime is 100000100101067. The reversal of 100000100101001 is 100101001000001.

It can be written as a sum of positive squares in 4 ways, for example, as 5892154245376 + 94107945855625 = 2427376^2 + 9700925^2 .

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 100000100101001 - 2⁶ = 100000100100937 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 (100000100101081) 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, 10959386 + ... + 17891571.

It is an arithmetic number, because the mean of its divisors is an integer number (12531226076073).

Almost surely, 2^{100000100101001} is an apocalyptic number.

It is an amenable number.

100000100101001 is a deficient number, since it is larger than the sum of its proper divisors (249708507583).

100000100101001 is an equidigital number, since it uses as much as digits as its factorization.

100000100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28859611.

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

Adding to 100000100101001 its reverse (100101001000001), we get a palindrome (200101101101002).

The spelling of 100000100101001 in words is "one hundred trillion, one hundred million, one hundred one thousand, one".