100966444721 has 2 divisors, whose sum is σ = 100966444722. Its totient is φ = 100966444720.

The previous prime is 100966444717. The next prime is 100966444723. The reversal of 100966444721 is 127444669001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100894534321 + 71910400 = 317639^2 + 8480^2 .

It is a cyclic number.

It is not a de Polignac number, because 100966444721 - 2² = 100966444717 is a prime.

It is a Sophie Germain prime.

Together with 100966444723, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100966444723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50483222360 + 50483222361.

It is an arithmetic number, because the mean of its divisors is an integer number (50483222361).

Almost surely, 2^100966444721 is an apocalyptic number.

It is an amenable number.

100966444721 is a deficient number, since it is larger than the sum of its proper divisors (1).

100966444721 is an equidigital number, since it uses as much as digits as its factorization.

100966444721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 100966444721 in words is "one hundred billion, nine hundred sixty-six million, four hundred forty-four thousand, seven hundred twenty-one".