100102211202089 has 2 divisors, whose sum is σ = 100102211202090. Its totient is φ = 100102211202088.

The previous prime is 100102211202083. The next prime is 100102211202131. The reversal of 100102211202089 is 980202112201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99999840000064 + 102371202025 = 9999992^2 + 319955^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102211202089 - 2¹⁶ = 100102211136553 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102211202083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051105601044 + 50051105601045.

It is an arithmetic number, because the mean of its divisors is an integer number (50051105601045).

Almost surely, 2^{100102211202089} is an apocalyptic number.

It is an amenable number.

100102211202089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102211202089 is an equidigital number, since it uses as much as digits as its factorization.

100102211202089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 100102211202089 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, two hundred two thousand, eighty-nine".