1001001010001 has 8 divisors (see below), whose sum is σ = 1059926847840. Its totient is φ = 942079997248.

The previous prime is 1001001009961. The next prime is 1001001010007. The reversal of 1001001010001 is 1000101001001.

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 1001001010001 - 2¹⁴ = 1001000993617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001001010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774731 + ... + 1613136.

It is an arithmetic number, because the mean of its divisors is an integer number (132490855980).

Almost surely, 2^{1001001010001} is an apocalyptic number.

It is an amenable number.

1001001010001 is a deficient number, since it is larger than the sum of its proper divisors (58925837839).

1001001010001 is a wasteful number, since it uses less digits than its factorization.

1001001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412543.

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

Adding to 1001001010001 its reverse (1000101001001), we get a palindrome (2001102011002).

The spelling of 1001001010001 in words is "one trillion, one billion, one million, ten thousand, one".