300102022201301 has 2 divisors, whose sum is σ = 300102022201302. Its totient is φ = 300102022201300.

The previous prime is 300102022201253. The next prime is 300102022201309. The reversal of 300102022201301 is 103102220201003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293311693059025 + 6790329142276 = 17126345^2 + 2605826^2 .

It is a cyclic number.

It is not a de Polignac number, because 300102022201301 - 2⁶ = 300102022201237 is a prime.

It is a super-2 number, since 2×300102022201301² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 300102022201301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300102022201309) 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, 150051011100650 + 150051011100651.

It is an arithmetic number, because the mean of its divisors is an integer number (150051011100651).

Almost surely, 2^{300102022201301} is an apocalyptic number.

It is an amenable number.

300102022201301 is a deficient number, since it is larger than the sum of its proper divisors (1).

300102022201301 is an equidigital number, since it uses as much as digits as its factorization.

300102022201301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 300102022201301 its reverse (103102220201003), we get a palindrome (403204242402304).

The spelling of 300102022201301 in words is "three hundred trillion, one hundred two billion, twenty-two million, two hundred one thousand, three hundred one".