100616209361 has 2 divisors, whose sum is σ = 100616209362. Its totient is φ = 100616209360.

The previous prime is 100616209327. The next prime is 100616209387. The reversal of 100616209361 is 163902616001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51958467136 + 48657742225 = 227944^2 + 220585^2 .

It is a cyclic number.

It is not a de Polignac number, because 100616209361 - 2¹⁰ = 100616208337 is a prime.

It is not a weakly prime, because it can be changed into another prime (100616209321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50308104680 + 50308104681.

It is an arithmetic number, because the mean of its divisors is an integer number (50308104681).

Almost surely, 2^100616209361 is an apocalyptic number.

It is an amenable number.

100616209361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100616209361 is an equidigital number, since it uses as much as digits as its factorization.

100616209361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 100616209361 in words is "one hundred billion, six hundred sixteen million, two hundred nine thousand, three hundred sixty-one".