1009101000001 has 8 divisors (see below), whose sum is σ = 1068591660840. Its totient is φ = 949624981248.

The previous prime is 1009100999989. The next prime is 1009101000043. The reversal of 1009101000001 is 1000001019001.

It can be written as a sum of positive squares in 4 ways, for example, as 759651696400 + 249449303601 = 871580^2 + 499449^2 .

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 1009101000001 - 2¹³ = 1009100991809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009101000701) 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, 3518466 + ... + 3794443.

It is an arithmetic number, because the mean of its divisors is an integer number (133573957605).

Almost surely, 2^{1009101000001} is an apocalyptic number.

It is an amenable number.

1009101000001 is a deficient number, since it is larger than the sum of its proper divisors (59490660839).

1009101000001 is an equidigital number, since it uses as much as digits as its factorization.

1009101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321043.

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

Adding to 1009101000001 its reverse (1000001019001), we get a palindrome (2009102019002).

The spelling of 1009101000001 in words is "one trillion, nine billion, one hundred one million, one", and thus it is an aban number.