1009100010001 has 8 divisors (see below), whose sum is σ = 1043912497320. Its totient is φ = 974288585088.

The previous prime is 1009100009963. The next prime is 1009100010007. The reversal of 1009100010001 is 1000100019001.

It can be written as a sum of positive squares in 4 ways, for example, as 796047606225 + 213052403776 = 892215^2 + 461576^2 .

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 1009100010001 - 2¹¹ = 1009100007953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009100010007) 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, 1992255 + ... + 2446891.

It is an arithmetic number, because the mean of its divisors is an integer number (130489062165).

Almost surely, 2^{1009100010001} is an apocalyptic number.

It is an amenable number.

1009100010001 is a deficient number, since it is larger than the sum of its proper divisors (34812487319).

1009100010001 is an equidigital number, since it uses as much as digits as its factorization.

1009100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531203.

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

Adding to 1009100010001 its reverse (1000100019001), we get a palindrome (2009200029002).

The spelling of 1009100010001 in words is "one trillion, nine billion, one hundred million, ten thousand, one".