100948258321 has 2 divisors, whose sum is σ = 100948258322. Its totient is φ = 100948258320.

The previous prime is 100948258291. The next prime is 100948258387. The reversal of 100948258321 is 123852849001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99136819600 + 1811438721 = 314860^2 + 42561^2 .

It is a cyclic number.

It is not a de Polignac number, because 100948258321 - 2⁵ = 100948258289 is a prime.

It is not a weakly prime, because it can be changed into another prime (100948253321) 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, 50474129160 + 50474129161.

It is an arithmetic number, because the mean of its divisors is an integer number (50474129161).

Almost surely, 2^100948258321 is an apocalyptic number.

It is an amenable number.

100948258321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100948258321 is an equidigital number, since it uses as much as digits as its factorization.

100948258321 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 100948258321 in words is "one hundred billion, nine hundred forty-eight million, two hundred fifty-eight thousand, three hundred twenty-one".