10011011001001 has 2 divisors, whose sum is σ = 10011011001002. Its totient is φ = 10011011001000.

The previous prime is 10011011000951. The next prime is 10011011001011. The reversal of 10011011001001 is 10010011011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5110986041001 + 4900024960000 = 2260749^2 + 2213600^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011011001001 - 2¹⁷ = 10011010869929 is a prime.

It is a super-3 number, since 3×10011011001001³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10011011001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005505500500 + 5005505500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005505500501).

Almost surely, 2^{10011011001001} is an apocalyptic number.

It is an amenable number.

10011011001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011011001001 is an equidigital number, since it uses as much as digits as its factorization.

10011011001001 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 7.

Adding to 10011011001001 its reverse (10010011011001), we get a palindrome (20021022012002).

The spelling of 10011011001001 in words is "ten trillion, eleven billion, eleven million, one thousand, one".