100300000001057 has 2 divisors, whose sum is σ = 100300000001058. Its totient is φ = 100300000001056.

The previous prime is 100300000001021. The next prime is 100300000001059. The reversal of 100300000001057 is 750100000003001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99953625377761 + 346374623296 = 9997681^2 + 588536^2 .

It is a cyclic number.

It is not a de Polignac number, because 100300000001057 - 2²⁴ = 100299983223841 is a prime.

It is a super-2 number, since 2×100300000001057² (a number of 29 digits) contains 22 as substring.

Together with 100300000001059, 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 (100300000001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50150000000528 + 50150000000529.

It is an arithmetic number, because the mean of its divisors is an integer number (50150000000529).

Almost surely, 2^{100300000001057} is an apocalyptic number.

It is an amenable number.

100300000001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100300000001057 is an equidigital number, since it uses as much as digits as its factorization.

100300000001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

Adding to 100300000001057 its reverse (750100000003001), we get a palindrome (850400000004058).

The spelling of 100300000001057 in words is "one hundred trillion, three hundred billion, one thousand, fifty-seven".