1010010001001 has 8 divisors (see below), whose sum is σ = 1045934327880. Its totient is φ = 974158767232.

The previous prime is 1010010000973. The next prime is 1010010001027. The reversal of 1010010001001 is 1001000100101.

1010010001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 146413369600 + 863596631401 = 382640^2 + 929299^2 .

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 1010010001001 - 2²⁶ = 1009942892137 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 (1010010001501) 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, 18245150 + ... + 18300423.

It is an arithmetic number, because the mean of its divisors is an integer number (130741790985).

Almost surely, 2^{1010010001001} is an apocalyptic number.

It is an amenable number.

1010010001001 is a deficient number, since it is larger than the sum of its proper divisors (35924326879).

1010010001001 is an equidigital number, since it uses as much as digits as its factorization.

1010010001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36546555.

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

Adding to 1010010001001 its reverse (1001000100101), we get a palindrome (2011010101102).

The spelling of 1010010001001 in words is "one trillion, ten billion, ten million, one thousand, one".