10100006805797 has 2 divisors, whose sum is σ = 10100006805798. Its totient is φ = 10100006805796.

The previous prime is 10100006805761. The next prime is 10100006805799. The reversal of 10100006805797 is 79750860000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10066367944516 + 33638861281 = 3172754^2 + 183409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100006805797 is a prime.

Together with 10100006805799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100006805799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050003402898 + 5050003402899.

It is an arithmetic number, because the mean of its divisors is an integer number (5050003402899).

Almost surely, 2^{10100006805797} is an apocalyptic number.

It is an amenable number.

10100006805797 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100006805797 is an equidigital number, since it uses as much as digits as its factorization.

10100006805797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 44.

Adding to 10100006805797 its reverse (79750860000101), we get a palindrome (89850866805898).

The spelling of 10100006805797 in words is "ten trillion, one hundred billion, six million, eight hundred five thousand, seven hundred ninety-seven".