100838014561321 has 2 divisors, whose sum is σ = 100838014561322. Its totient is φ = 100838014561320.

The previous prime is 100838014561289. The next prime is 100838014561381. The reversal of 100838014561321 is 123165410838001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54121623427600 + 46716391133721 = 7356740^2 + 6834939^2 .

It is a cyclic number.

It is not a de Polignac number, because 100838014561321 - 2⁵ = 100838014561289 is a prime.

It is a super-3 number, since 3×100838014561321³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100838014561381) 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, 50419007280660 + 50419007280661.

It is an arithmetic number, because the mean of its divisors is an integer number (50419007280661).

Almost surely, 2^{100838014561321} is an apocalyptic number.

It is an amenable number.

100838014561321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100838014561321 is an equidigital number, since it uses as much as digits as its factorization.

100838014561321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 100838014561321 in words is "one hundred trillion, eight hundred thirty-eight billion, fourteen million, five hundred sixty-one thousand, three hundred twenty-one".