10100001101089 has 2 divisors, whose sum is σ = 10100001101090. Its totient is φ = 10100001101088.

The previous prime is 10100001101053. The next prime is 10100001101129. The reversal of 10100001101089 is 98010110000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8668549177600 + 1431451923489 = 2944240^2 + 1196433^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001101089 - 2¹⁹ = 10100000576801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100001101789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000550544 + 5050000550545.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000550545).

Almost surely, 2^{10100001101089} is an apocalyptic number.

It is an amenable number.

10100001101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001101089 is an equidigital number, since it uses as much as digits as its factorization.

10100001101089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10100001101089 in words is "ten trillion, one hundred billion, one million, one hundred one thousand, eighty-nine".