10021775007757 has 2 divisors, whose sum is σ = 10021775007758. Its totient is φ = 10021775007756.

The previous prime is 10021775007743. The next prime is 10021775007773. The reversal of 10021775007757 is 75770057712001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9758288878276 + 263486129481 = 3123826^2 + 513309^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021775007757 - 2³⁹ = 9472019193869 is a prime.

It is a super-2 number, since 2×10021775007757² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10021775007757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021775007707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010887503878 + 5010887503879.

It is an arithmetic number, because the mean of its divisors is an integer number (5010887503879).

Almost surely, 2^{10021775007757} is an apocalyptic number.

It is an amenable number.

10021775007757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021775007757 is an equidigital number, since it uses as much as digits as its factorization.

10021775007757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840350, while the sum is 49.

The spelling of 10021775007757 in words is "ten trillion, twenty-one billion, seven hundred seventy-five million, seven thousand, seven hundred fifty-seven".