1020034214257 has 2 divisors, whose sum is σ = 1020034214258. Its totient is φ = 1020034214256.

The previous prime is 1020034214239. The next prime is 1020034214261. The reversal of 1020034214257 is 7524124300201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 548956519056 + 471077695201 = 740916^2 + 686351^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020034214257 - 2¹⁵ = 1020034181489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020034214057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510017107128 + 510017107129.

It is an arithmetic number, because the mean of its divisors is an integer number (510017107129).

Almost surely, 2^{1020034214257} is an apocalyptic number.

It is an amenable number.

1020034214257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020034214257 is an equidigital number, since it uses as much as digits as its factorization.

1020034214257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 1020034214257 its reverse (7524124300201), we get a palindrome (8544158514458).

The spelling of 1020034214257 in words is "one trillion, twenty billion, thirty-four million, two hundred fourteen thousand, two hundred fifty-seven".