210001121200009 has 2 divisors, whose sum is σ = 210001121200010. Its totient is φ = 210001121200008.

The previous prime is 210001121200007. The next prime is 210001121200043. The reversal of 210001121200009 is 900002121100012.

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., 111112575590025 + 98888545609984 = 10540995^2 + 9944272^2 .

It is a cyclic number.

It is not a de Polignac number, because 210001121200009 - 2¹ = 210001121200007 is a prime.

Together with 210001121200007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (210001121200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105000560600004 + 105000560600005.

It is an arithmetic number, because the mean of its divisors is an integer number (105000560600005).

Almost surely, 2^{210001121200009} is an apocalyptic number.

It is an amenable number.

210001121200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210001121200009 is an equidigital number, since it uses as much as digits as its factorization.

210001121200009 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 210001121200009 in words is "two hundred ten trillion, one billion, one hundred twenty-one million, two hundred thousand, nine".