100738004531657 has 2 divisors, whose sum is σ = 100738004531658. Its totient is φ = 100738004531656.

The previous prime is 100738004531651. The next prime is 100738004531683. The reversal of 100738004531657 is 756135400837001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99973981692601 + 764022839056 = 9998699^2 + 874084^2 .

It is an emirp because it is prime and its reverse (756135400837001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100738004531657 - 2¹⁴ = 100738004515273 is a prime.

It is a super-3 number, since 3×100738004531657³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100738004531651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50369002265828 + 50369002265829.

It is an arithmetic number, because the mean of its divisors is an integer number (50369002265829).

Almost surely, 2^{100738004531657} is an apocalyptic number.

It is an amenable number.

100738004531657 is a deficient number, since it is larger than the sum of its proper divisors (1).

100738004531657 is an equidigital number, since it uses as much as digits as its factorization.

100738004531657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 100738004531657 in words is "one hundred trillion, seven hundred thirty-eight billion, four million, five hundred thirty-one thousand, six hundred fifty-seven".