100119966456689 has 2 divisors, whose sum is σ = 100119966456690. Its totient is φ = 100119966456688.

The previous prime is 100119966456683. The next prime is 100119966456691. The reversal of 100119966456689 is 986654669911001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92615697927025 + 7504268529664 = 9623705^2 + 2739392^2 .

It is a cyclic number.

It is not a de Polignac number, because 100119966456689 - 2¹⁶ = 100119966391153 is a prime.

Together with 100119966456691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100119966456683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50059983228344 + 50059983228345.

It is an arithmetic number, because the mean of its divisors is an integer number (50059983228345).

Almost surely, 2^{100119966456689} is an apocalyptic number.

It is an amenable number.

100119966456689 is a deficient number, since it is larger than the sum of its proper divisors (1).

100119966456689 is an equidigital number, since it uses as much as digits as its factorization.

100119966456689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151165440, while the sum is 71.

The spelling of 100119966456689 in words is "one hundred trillion, one hundred nineteen billion, nine hundred sixty-six million, four hundred fifty-six thousand, six hundred eighty-nine".