1000100910001 has 8 divisors (see below), whose sum is σ = 1000659090600. Its totient is φ = 999542873472.

The previous prime is 1000100909989. The next prime is 1000100910013. The reversal of 1000100910001 is 1000190010001.

It is an interprime number because it is at equal distance from previous prime (1000100909989) and next prime (1000100910013).

It can be written as a sum of positive squares in 4 ways, for example, as 1650309376 + 998450600625 = 40624^2 + 999225^2 .

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 1000100910001 - 2³⁷ = 862661956529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000100910041) 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, 15719611 + ... + 15783103.

It is an arithmetic number, because the mean of its divisors is an integer number (125082386325).

Almost surely, 2^{1000100910001} is an apocalyptic number.

It is an amenable number.

1000100910001 is a deficient number, since it is larger than the sum of its proper divisors (558180599).

1000100910001 is an equidigital number, since it uses as much as digits as its factorization.

1000100910001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72035.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1000100910001 its reverse (1000190010001), we get a palindrome (2000290920002).

The spelling of 1000100910001 in words is "one trillion, one hundred million, nine hundred ten thousand, one".