1010021021257 has 2 divisors, whose sum is σ = 1010021021258. Its totient is φ = 1010021021256.

The previous prime is 1010021021203. The next prime is 1010021021311. The reversal of 1010021021257 is 7521201200101.

It is a balanced prime because it is at equal distance from previous prime (1010021021203) and next prime (1010021021311).

It can be written as a sum of positive squares in only one way, i.e., 969557284921 + 40463736336 = 984661^2 + 201156^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010021021257 - 2²⁷ = 1009886803529 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010021021057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505010510628 + 505010510629.

It is an arithmetic number, because the mean of its divisors is an integer number (505010510629).

Almost surely, 2^{1010021021257} is an apocalyptic number.

It is an amenable number.

1010021021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010021021257 is an equidigital number, since it uses as much as digits as its factorization.

1010021021257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 1010021021257 its reverse (7521201200101), we get a palindrome (8531222221358).

The spelling of 1010021021257 in words is "one trillion, ten billion, twenty-one million, twenty-one thousand, two hundred fifty-seven".