100102010121209 has 2 divisors, whose sum is σ = 100102010121210. Its totient is φ = 100102010121208.

The previous prime is 100102010121109. The next prime is 100102010121271. The reversal of 100102010121209 is 902121010201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97820566023184 + 2281444098025 = 9890428^2 + 1510445^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102010121209 - 2⁴⁴ = 82509824076793 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102010121109) 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, 50051005060604 + 50051005060605.

It is an arithmetic number, because the mean of its divisors is an integer number (50051005060605).

Almost surely, 2^{100102010121209} is an apocalyptic number.

It is an amenable number.

100102010121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102010121209 is an equidigital number, since it uses as much as digits as its factorization.

100102010121209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100102010121209 in words is "one hundred trillion, one hundred two billion, ten million, one hundred twenty-one thousand, two hundred nine".