300201310312121 has 2 divisors, whose sum is σ = 300201310312122. Its totient is φ = 300201310312120.

The previous prime is 300201310312117. The next prime is 300201310312177. The reversal of 300201310312121 is 121213013102003.

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., 292319035075600 + 7882275236521 = 17097340^2 + 2807539^2 .

It is a cyclic number.

It is not a de Polignac number, because 300201310312121 - 2² = 300201310312117 is a prime.

It is a super-2 number, since 2×300201310312121² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300201310312093 and 300201310312102.

It is not a weakly prime, because it can be changed into another prime (300201310312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150100655156060 + 150100655156061.

It is an arithmetic number, because the mean of its divisors is an integer number (150100655156061).

Almost surely, 2^{300201310312121} is an apocalyptic number.

It is an amenable number.

300201310312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

300201310312121 is an equidigital number, since it uses as much as digits as its factorization.

300201310312121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 300201310312121 its reverse (121213013102003), we get a palindrome (421414323414124).

The spelling of 300201310312121 in words is "three hundred trillion, two hundred one billion, three hundred ten million, three hundred twelve thousand, one hundred twenty-one".