10020100084817 has 2 divisors, whose sum is σ = 10020100084818. Its totient is φ = 10020100084816.

The previous prime is 10020100084807. The next prime is 10020100084829. The reversal of 10020100084817 is 71848000102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9165629095441 + 854470989376 = 3027479^2 + 924376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020100084817 - 2²² = 10020095890513 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020100084807) 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, 5010050042408 + 5010050042409.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050042409).

Almost surely, 2^{10020100084817} is an apocalyptic number.

It is an amenable number.

10020100084817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020100084817 is an equidigital number, since it uses as much as digits as its factorization.

10020100084817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 32.

Adding to 10020100084817 its reverse (71848000102001), we get a palindrome (81868100186818).

The spelling of 10020100084817 in words is "ten trillion, twenty billion, one hundred million, eighty-four thousand, eight hundred seventeen".