10020410677657 has 2 divisors, whose sum is σ = 10020410677658. Its totient is φ = 10020410677656.

The previous prime is 10020410677583. The next prime is 10020410677681. The reversal of 10020410677657 is 75677601402001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5716192412736 + 4304218264921 = 2390856^2 + 2074661^2 .

It is an emirp because it is prime and its reverse (75677601402001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10020410677657 - 2²⁷ = 10020276459929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020410677957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010205338828 + 5010205338829.

It is an arithmetic number, because the mean of its divisors is an integer number (5010205338829).

Almost surely, 2^{10020410677657} is an apocalyptic number.

It is an amenable number.

10020410677657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020410677657 is an equidigital number, since it uses as much as digits as its factorization.

10020410677657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 10020410677657 in words is "ten trillion, twenty billion, four hundred ten million, six hundred seventy-seven thousand, six hundred fifty-seven".