100216661617 has 2 divisors, whose sum is σ = 100216661618. Its totient is φ = 100216661616.

The previous prime is 100216661561. The next prime is 100216661627. The reversal of 100216661617 is 716166612001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78772280896 + 21444380721 = 280664^2 + 146439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100216661617 is a prime.

It is not a weakly prime, because it can be changed into another prime (100216661627) 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, 50108330808 + 50108330809.

It is an arithmetic number, because the mean of its divisors is an integer number (50108330809).

Almost surely, 2^100216661617 is an apocalyptic number.

It is an amenable number.

100216661617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100216661617 is an equidigital number, since it uses as much as digits as its factorization.

100216661617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 100216661617 in words is "one hundred billion, two hundred sixteen million, six hundred sixty-one thousand, six hundred seventeen".