100966968989 has 2 divisors, whose sum is σ = 100966968990. Its totient is φ = 100966968988.

The previous prime is 100966968937. The next prime is 100966969013. The reversal of 100966968989 is 989869669001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68993952889 + 31973016100 = 262667^2 + 178810^2 .

It is an emirp because it is prime and its reverse (989869669001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100966968989 - 2²⁴ = 100950191773 is a prime.

It is a super-3 number, since 3×100966968989³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100966998989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50483484494 + 50483484495.

It is an arithmetic number, because the mean of its divisors is an integer number (50483484495).

Almost surely, 2^100966968989 is an apocalyptic number.

It is an amenable number.

100966968989 is a deficient number, since it is larger than the sum of its proper divisors (1).

100966968989 is an equidigital number, since it uses as much as digits as its factorization.

100966968989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90699264, while the sum is 71.

The spelling of 100966968989 in words is "one hundred billion, nine hundred sixty-six million, nine hundred sixty-eight thousand, nine hundred eighty-nine".