102101210009 has 2 divisors, whose sum is σ = 102101210010. Its totient is φ = 102101210008.

The previous prime is 102101209999. The next prime is 102101210011. The reversal of 102101210009 is 900012101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58167792400 + 43933417609 = 241180^2 + 209603^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101210009 - 2¹⁶ = 102101144473 is a prime.

Together with 102101210011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102101210089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050605004 + 51050605005.

It is an arithmetic number, because the mean of its divisors is an integer number (51050605005).

Almost surely, 2^102101210009 is an apocalyptic number.

It is an amenable number.

102101210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101210009 is an equidigital number, since it uses as much as digits as its factorization.

102101210009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 102101210009 in words is "one hundred two billion, one hundred one million, two hundred ten thousand, nine".