10001010110801 has 2 divisors, whose sum is σ = 10001010110802. Its totient is φ = 10001010110800.

The previous prime is 10001010110779. The next prime is 10001010110837. The reversal of 10001010110801 is 10801101010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9430948870225 + 570061240576 = 3070985^2 + 755024^2 .

It is an emirp because it is prime and its reverse (10801101010001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001010110801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001010110101) 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 as a sum of consecutive naturals, namely, 5000505055400 + 5000505055401.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505055401).

Almost surely, 2^{10001010110801} is an apocalyptic number.

It is an amenable number.

10001010110801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010110801 is an equidigital number, since it uses as much as digits as its factorization.

10001010110801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10001010110801 its reverse (10801101010001), we get a palindrome (20802111120802).

The spelling of 10001010110801 in words is "ten trillion, one billion, ten million, one hundred ten thousand, eight hundred one".