210100000100009 has 2 divisors, whose sum is σ = 210100000100010. Its totient is φ = 210100000100008.

The previous prime is 210100000099991. The next prime is 210100000100041. The reversal of 210100000100009 is 900001000001012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178529682250000 + 31570317850009 = 13361500^2 + 5618747^2 .

It is a cyclic number.

It is not a de Polignac number, because 210100000100009 - 2¹² = 210100000095913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210100000099966 and 210100000100002.

It is not a weakly prime, because it can be changed into another prime (210100000120009) 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, 105050000050004 + 105050000050005.

It is an arithmetic number, because the mean of its divisors is an integer number (105050000050005).

Almost surely, 2^{210100000100009} is an apocalyptic number.

It is an amenable number.

210100000100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100000100009 is an equidigital number, since it uses as much as digits as its factorization.

210100000100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 210100000100009 in words is "two hundred ten trillion, one hundred billion, one hundred thousand, nine".