100517603332141 has 2 divisors, whose sum is σ = 100517603332142. Its totient is φ = 100517603332140.

The previous prime is 100517603332079. The next prime is 100517603332169. The reversal of 100517603332141 is 141233306715001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70657826684041 + 29859776648100 = 8405821^2 + 5464410^2 .

It is a cyclic number.

It is not a de Polignac number, because 100517603332141 - 2¹⁷ = 100517603201069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100517603332141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100517603332171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50258801666070 + 50258801666071.

It is an arithmetic number, because the mean of its divisors is an integer number (50258801666071).

Almost surely, 2^{100517603332141} is an apocalyptic number.

It is an amenable number.

100517603332141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100517603332141 is an equidigital number, since it uses as much as digits as its factorization.

100517603332141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 100517603332141 in words is "one hundred trillion, five hundred seventeen billion, six hundred three million, three hundred thirty-two thousand, one hundred forty-one".