10001001101001 has 8 divisors (see below), whose sum is σ = 13335881193120. Its totient is φ = 6666727538112.

The previous prime is 10001001100939. The next prime is 10001001101017. The reversal of 10001001101001 is 10010110010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001001101001 - 2³¹ = 9998853617353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001001101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151593831 + ... + 151659788.

It is an arithmetic number, because the mean of its divisors is an integer number (1666985149140).

Almost surely, 2^{10001001101001} is an apocalyptic number.

It is an amenable number.

10001001101001 is a deficient number, since it is larger than the sum of its proper divisors (3334880092119).

10001001101001 is a wasteful number, since it uses less digits than its factorization.

10001001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303264615.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001001101001 its reverse (10010110010001), we get a palindrome (20011111111002).

The spelling of 10001001101001 in words is "ten trillion, one billion, one million, one hundred one thousand, one".