102101102209 has 2 divisors, whose sum is σ = 102101102210. Its totient is φ = 102101102208.

The previous prime is 102101102197. The next prime is 102101102231. The reversal of 102101102209 is 902201101201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100311558400 + 1789543809 = 316720^2 + 42303^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101102209 - 2⁵ = 102101102177 is a prime.

It is not a weakly prime, because it can be changed into another prime (102104102209) 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, 51050551104 + 51050551105.

It is an arithmetic number, because the mean of its divisors is an integer number (51050551105).

Almost surely, 2^102101102209 is an apocalyptic number.

It is an amenable number.

102101102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101102209 is an equidigital number, since it uses as much as digits as its factorization.

102101102209 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 19.

The spelling of 102101102209 in words is "one hundred two billion, one hundred one million, one hundred two thousand, two hundred nine".