10001011001001 has 32 divisors (see below), whose sum is σ = 13500925468800. Its totient is φ = 6584561280000.

The previous prime is 10001011000997. The next prime is 10001011001017. The reversal of 10001011001001 is 10010011010001.

It is not a de Polignac number, because 10001011001001 - 2² = 10001011000997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001011002001) 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 31 ways as a sum of consecutive naturals, for example, 1010096151 + ... + 1010106051.

It is an arithmetic number, because the mean of its divisors is an integer number (421903920900).

Almost surely, 2^{10001011001001} is an apocalyptic number.

It is an amenable number.

10001011001001 is a deficient number, since it is larger than the sum of its proper divisors (3499914467799).

10001011001001 is a wasteful number, since it uses less digits than its factorization.

10001011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18137.

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

Adding to 10001011001001 its reverse (10010011010001), we get a palindrome (20011022011002).

The spelling of 10001011001001 in words is "ten trillion, one billion, eleven million, one thousand, one".