100198829221 has 2 divisors, whose sum is σ = 100198829222. Its totient is φ = 100198829220.

The previous prime is 100198829197. The next prime is 100198829261. The reversal of 100198829221 is 122928891001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98587208196 + 1611621025 = 313986^2 + 40145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100198829221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100198829261) 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, 50099414610 + 50099414611.

It is an arithmetic number, because the mean of its divisors is an integer number (50099414611).

Almost surely, 2^100198829221 is an apocalyptic number.

It is an amenable number.

100198829221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100198829221 is an equidigital number, since it uses as much as digits as its factorization.

100198829221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 43.

The spelling of 100198829221 in words is "one hundred billion, one hundred ninety-eight million, eight hundred twenty-nine thousand, two hundred twenty-one".