10509357101 has 2 divisors, whose sum is σ = 10509357102. Its totient is φ = 10509357100.

The previous prime is 10509357077. The next prime is 10509357107. The reversal of 10509357101 is 10175390501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7010043076 + 3499314025 = 83726^2 + 59155^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509357101 - 2¹⁴ = 10509340717 is a prime.

It is a super-2 number, since 2×10509357101² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10509357107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5254678550 + 5254678551.

It is an arithmetic number, because the mean of its divisors is an integer number (5254678551).

Almost surely, 2^10509357101 is an apocalyptic number.

It is an amenable number.

10509357101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509357101 is an equidigital number, since it uses as much as digits as its factorization.

10509357101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 32.

The spelling of 10509357101 in words is "ten billion, five hundred nine million, three hundred fifty-seven thousand, one hundred one".