102202100110909 has 2 divisors, whose sum is σ = 102202100110910. Its totient is φ = 102202100110908.

The previous prime is 102202100110871. The next prime is 102202100110949. The reversal of 102202100110909 is 909011001202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66435899275684 + 35766200835225 = 8150822^2 + 5980485^2 .

It is an emirp because it is prime and its reverse (909011001202201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102202100110909 - 2¹¹ = 102202100108861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202100110949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101050055454 + 51101050055455.

It is an arithmetic number, because the mean of its divisors is an integer number (51101050055455).

Almost surely, 2^{102202100110909} is an apocalyptic number.

It is an amenable number.

102202100110909 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202100110909 is an equidigital number, since it uses as much as digits as its factorization.

102202100110909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 102202100110909 in words is "one hundred two trillion, two hundred two billion, one hundred million, one hundred ten thousand, nine hundred nine".