10010000011001 has 2 divisors, whose sum is σ = 10010000011002. Its totient is φ = 10010000011000.

The previous prime is 10010000010919. The next prime is 10010000011097. The reversal of 10010000011001 is 10011000001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8058223367401 + 1951776643600 = 2838701^2 + 1397060^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010000011001 - 2⁴² = 5611953499897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010000061001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000005500 + 5005000005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000005501).

Almost surely, 2^{10010000011001} is an apocalyptic number.

It is an amenable number.

10010000011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000011001 is an equidigital number, since it uses as much as digits as its factorization.

10010000011001 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 10010000011001 its reverse (10011000001001), we get a palindrome (20021000012002).

It can be divided in two parts, 100100000 and 11001, that added together give a palindrome (100111001).

The spelling of 10010000011001 in words is "ten trillion, ten billion, eleven thousand, one".