1010001001001 has 8 divisors (see below), whose sum is σ = 1016714647104. Its totient is φ = 1003287682800.

The previous prime is 1010001000971. The next prime is 1010001001007. The reversal of 1010001001001 is 1001001000101.

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 1010001001001 - 2³⁴ = 992821131817 is a prime.

It is a Duffinian number.

1010001001001 is a modest number, since divided by 1001001 gives 1010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1010001001007) 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, 11667986 + ... + 11754228.

It is an arithmetic number, because the mean of its divisors is an integer number (127089330888).

Almost surely, 2^{1010001001001} is an apocalyptic number.

It is an amenable number.

1010001001001 is a deficient number, since it is larger than the sum of its proper divisors (6713646103).

1010001001001 is an equidigital number, since it uses as much as digits as its factorization.

1010001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163951.

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

Adding to 1010001001001 its reverse (1001001000101), we get a palindrome (2011002001102).

The spelling of 1010001001001 in words is "one trillion, ten billion, one million, one thousand, one".