10001111001001 has 8 divisors (see below), whose sum is σ = 10436008593024. Its totient is φ = 9566218965600.

The previous prime is 10001111000983. The next prime is 10001111001041. The reversal of 10001111001001 is 10010011110001.

It is a happy number.

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 10001111001001 - 2¹⁹ = 10001110476713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001111001041) 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, 2523301 + ... + 5135101.

It is an arithmetic number, because the mean of its divisors is an integer number (1304501074128).

Almost surely, 2^{10001111001001} is an apocalyptic number.

It is an amenable number.

10001111001001 is a deficient number, since it is larger than the sum of its proper divisors (434897592023).

10001111001001 is a wasteful number, since it uses less digits than its factorization.

10001111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778311.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10001111001001 its reverse (10010011110001), we get a palindrome (20011122111002).

The spelling of 10001111001001 in words is "ten trillion, one billion, one hundred eleven million, one thousand, one".