1020016017817 has 2 divisors, whose sum is σ = 1020016017818. Its totient is φ = 1020016017816.

The previous prime is 1020016017767. The next prime is 1020016017821. The reversal of 1020016017817 is 7187106100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 851013630016 + 169002387801 = 922504^2 + 411099^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020016017817 - 2¹⁹ = 1020015493529 is a prime.

It is a super-2 number, since 2×1020016017817² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020016017847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510008008908 + 510008008909.

It is an arithmetic number, because the mean of its divisors is an integer number (510008008909).

Almost surely, 2^{1020016017817} is an apocalyptic number.

It is an amenable number.

1020016017817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020016017817 is an equidigital number, since it uses as much as digits as its factorization.

1020016017817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 34.

The spelling of 1020016017817 in words is "one trillion, twenty billion, sixteen million, seventeen thousand, eight hundred seventeen".