1010020010257 has 2 divisors, whose sum is σ = 1010020010258. Its totient is φ = 1010020010256.

The previous prime is 1010020010191. The next prime is 1010020010269. The reversal of 1010020010257 is 7520100200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593086354641 + 416933655616 = 770121^2 + 645704^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010020010257 - 2¹¹ = 1010020008209 is a prime.

It is a super-3 number, since 3×1010020010257³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1010020010287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505010005128 + 505010005129.

It is an arithmetic number, because the mean of its divisors is an integer number (505010005129).

Almost surely, 2^{1010020010257} is an apocalyptic number.

It is an amenable number.

1010020010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010020010257 is an equidigital number, since it uses as much as digits as its factorization.

1010020010257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 1010020010257 its reverse (7520100200101), we get a palindrome (8530120210358).

The spelling of 1010020010257 in words is "one trillion, ten billion, twenty million, ten thousand, two hundred fifty-seven".