10001001001001 has 8 divisors (see below), whose sum is σ = 10020022740000. Its totient is φ = 9981988505280.

The previous prime is 10001001000973. The next prime is 10001001001039. The reversal of 10001001001001 is 10010010010001.

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 10001001001001 - 2⁶ = 10001001000937 is a prime.

It is a Duffinian number.

10001001001001 is a modest number, since divided by 1001001 gives 10001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10001001001091) 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, 142880 + ... + 4474641.

It is an arithmetic number, because the mean of its divisors is an integer number (1252502842500).

Almost surely, 2^{10001001001001} is an apocalyptic number.

It is an amenable number.

10001001001001 is a deficient number, since it is larger than the sum of its proper divisors (19021738999).

10001001001001 is an equidigital number, since it uses as much as digits as its factorization.

10001001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621639.

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

Adding to 10001001001001 its reverse (10010010010001), we get a palindrome (20011011011002).

The spelling of 10001001001001 in words is "ten trillion, one billion, one million, one thousand, one".