100210101200509 has 2 divisors, whose sum is σ = 100210101200510. Its totient is φ = 100210101200508.

The previous prime is 100210101200347. The next prime is 100210101200533. The reversal of 100210101200509 is 905002101012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77193883860025 + 23016217340484 = 8786005^2 + 4797522^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210101200509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100210101200509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210101200569) 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, 50105050600254 + 50105050600255.

It is an arithmetic number, because the mean of its divisors is an integer number (50105050600255).

Almost surely, 2^{100210101200509} is an apocalyptic number.

It is an amenable number.

100210101200509 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210101200509 is an equidigital number, since it uses as much as digits as its factorization.

100210101200509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 100210101200509 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two hundred thousand, five hundred nine".