10000010001889 has 2 divisors, whose sum is σ = 10000010001890. Its totient is φ = 10000010001888.

The previous prime is 10000010001827. The next prime is 10000010001899. The reversal of 10000010001889 is 98810001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9985473600400 + 14536401489 = 3159980^2 + 120567^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000010001889 - 2¹⁷ = 10000009870817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000010001899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005000944 + 5000005000945.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005000945).

Almost surely, 2^{10000010001889} is an apocalyptic number.

It is an amenable number.

10000010001889 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010001889 is an equidigital number, since it uses as much as digits as its factorization.

10000010001889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 10000010001889 in words is "ten trillion, ten million, one thousand, eight hundred eighty-nine".