100456721969 has 2 divisors, whose sum is σ = 100456721970. Its totient is φ = 100456721968.

The previous prime is 100456721917. The next prime is 100456721971. The reversal of 100456721969 is 969127654001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97914545569 + 2542176400 = 312913^2 + 50420^2 .

It is a cyclic number.

It is not a de Polignac number, because 100456721969 - 2⁸ = 100456721713 is a prime.

It is a super-2 number, since 2×100456721969² (a number of 23 digits) contains 22 as substring.

Together with 100456721971, 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 (100456721569) 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, 50228360984 + 50228360985.

It is an arithmetic number, because the mean of its divisors is an integer number (50228360985).

Almost surely, 2^100456721969 is an apocalyptic number.

It is an amenable number.

100456721969 is a deficient number, since it is larger than the sum of its proper divisors (1).

100456721969 is an equidigital number, since it uses as much as digits as its factorization.

100456721969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 100456721969 in words is "one hundred billion, four hundred fifty-six million, seven hundred twenty-one thousand, nine hundred sixty-nine".