10910001000001 has 2 divisors, whose sum is σ = 10910001000002. Its totient is φ = 10910001000000.

The previous prime is 10910000999987. The next prime is 10910001000049. The reversal of 10910001000001 is 10000010001901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7998285359376 + 2911715640625 = 2828124^2 + 1706375^2 .

It is an emirp because it is prime and its reverse (10000010001901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10910001000001 - 2³³ = 10901411065409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10910001006001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5455000500000 + 5455000500001.

It is an arithmetic number, because the mean of its divisors is an integer number (5455000500001).

Almost surely, 2^{10910001000001} is an apocalyptic number.

It is an amenable number.

10910001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10910001000001 is an equidigital number, since it uses as much as digits as its factorization.

10910001000001 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.

Adding to 10910001000001 its reverse (10000010001901), we get a palindrome (20910011001902).

The spelling of 10910001000001 in words is "ten trillion, nine hundred ten billion, one million, one", and thus it is an aban number.