10240214102309 has 2 divisors, whose sum is σ = 10240214102310. Its totient is φ = 10240214102308.

The previous prime is 10240214102213. The next prime is 10240214102311. The reversal of 10240214102309 is 90320141204201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10237139399809 + 3074702500 = 3199553^2 + 55450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10240214102309 is a prime.

It is a super-2 number, since 2×10240214102309² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10240214102311, it forms a pair of twin primes.

It is a Chen 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 (10240214102399) 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, 5120107051154 + 5120107051155.

It is an arithmetic number, because the mean of its divisors is an integer number (5120107051155).

Almost surely, 2^{10240214102309} is an apocalyptic number.

It is an amenable number.

10240214102309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240214102309 is an equidigital number, since it uses as much as digits as its factorization.

10240214102309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 10240214102309 in words is "ten trillion, two hundred forty billion, two hundred fourteen million, one hundred two thousand, three hundred nine".