1000300111241 has 2 divisors, whose sum is σ = 1000300111242. Its totient is φ = 1000300111240.

The previous prime is 1000300111123. The next prime is 1000300111243. The reversal of 1000300111241 is 1421110030001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984064000000 + 16236111241 = 992000^2 + 127421^2 .

It is an emirp because it is prime and its reverse (1421110030001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000300111241 - 2¹⁰ = 1000300110217 is a prime.

Together with 1000300111243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000300111243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500150055620 + 500150055621.

It is an arithmetic number, because the mean of its divisors is an integer number (500150055621).

Almost surely, 2^{1000300111241} is an apocalyptic number.

It is an amenable number.

1000300111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000300111241 is an equidigital number, since it uses as much as digits as its factorization.

1000300111241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000300111241 its reverse (1421110030001), we get a palindrome (2421410141242).

The spelling of 1000300111241 in words is "one trillion, three hundred million, one hundred eleven thousand, two hundred forty-one".