10001011001 has 2 divisors, whose sum is σ = 10001011002. Its totient is φ = 10001011000.

The previous prime is 10001010997. The next prime is 10001011037. The reversal of 10001011001 is 10011010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5428005625 + 4573005376 = 73675^2 + 67624^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011001 - 2² = 10001010997 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001011301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505500 + 5000505501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505501).

Almost surely, 2^10001011001 is an apocalyptic number.

It is an amenable number.

10001011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001011001 is an equidigital number, since it uses as much as digits as its factorization.

10001011001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10001011001 its reverse (10011010001), we get a palindrome (20012021002).

The spelling of 10001011001 in words is "ten billion, one million, eleven thousand, one".