100102220711089 has 2 divisors, whose sum is σ = 100102220711090. Its totient is φ = 100102220711088.

The previous prime is 100102220711027. The next prime is 100102220711093. The reversal of 100102220711089 is 980117022201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51615718310464 + 48486502400625 = 7184408^2 + 6963225^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102220711089 - 2¹⁷ = 100102220580017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102220711099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110355544 + 50051110355545.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110355545).

Almost surely, 2^{100102220711089} is an apocalyptic number.

It is an amenable number.

100102220711089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102220711089 is an equidigital number, since it uses as much as digits as its factorization.

100102220711089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 100102220711089 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, seven hundred eleven thousand, eighty-nine".