910010100001 has 2 divisors, whose sum is σ = 910010100002. Its totient is φ = 910010100000.

The previous prime is 910010099927. The next prime is 910010100017. The reversal of 910010100001 is 100001010019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503219984400 + 406790115601 = 709380^2 + 637801^2 .

It is an emirp because it is prime and its reverse (100001010019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 910010100001 - 2²⁷ = 909875882273 is a prime.

It is not a weakly prime, because it can be changed into another prime (910010500001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 455005050000 + 455005050001.

It is an arithmetic number, because the mean of its divisors is an integer number (455005050001).

Almost surely, 2^910010100001 is an apocalyptic number.

It is an amenable number.

910010100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

910010100001 is an equidigital number, since it uses as much as digits as its factorization.

910010100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 910010100001 in words is "nine hundred ten billion, ten million, one hundred thousand, one".