10116404901689 has 2 divisors, whose sum is σ = 10116404901690. Its totient is φ = 10116404901688.

The previous prime is 10116404901683. The next prime is 10116404901767. The reversal of 10116404901689 is 98610940461101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8354891973289 + 1761512928400 = 2890483^2 + 1327220^2 .

It is a cyclic number.

It is not a de Polignac number, because 10116404901689 - 2²⁴ = 10116388124473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10116404901683) 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, 5058202450844 + 5058202450845.

It is an arithmetic number, because the mean of its divisors is an integer number (5058202450845).

Almost surely, 2^{10116404901689} is an apocalyptic number.

It is an amenable number.

10116404901689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116404901689 is an equidigital number, since it uses as much as digits as its factorization.

10116404901689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 50.

The spelling of 10116404901689 in words is "ten trillion, one hundred sixteen billion, four hundred four million, nine hundred one thousand, six hundred eighty-nine".