102132203212009 has 2 divisors, whose sum is σ = 102132203212010. Its totient is φ = 102132203212008.

The previous prime is 102132203212003. The next prime is 102132203212033. The reversal of 102132203212009 is 900212302231201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54989862715225 + 47142340496784 = 7415515^2 + 6866028^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132203212009 - 2³ = 102132203212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102132203212001) 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, 51066101606004 + 51066101606005.

It is an arithmetic number, because the mean of its divisors is an integer number (51066101606005).

Almost surely, 2^{102132203212009} is an apocalyptic number.

It is an amenable number.

102132203212009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132203212009 is an equidigital number, since it uses as much as digits as its factorization.

102132203212009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 102132203212009 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred twelve thousand, nine".