1002112010257 has 2 divisors, whose sum is σ = 1002112010258. Its totient is φ = 1002112010256.

The previous prime is 1002112010197. The next prime is 1002112010279. The reversal of 1002112010257 is 7520102112001.

It is an a-pointer prime, because the next prime (1002112010279) can be obtained adding 1002112010257 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 787223209536 + 214888800721 = 887256^2 + 463561^2 .

It is an emirp because it is prime and its reverse (7520102112001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002112010257 is a prime.

It is a super-3 number, since 3×1002112010257³ (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 (1002112019257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056005128 + 501056005129.

It is an arithmetic number, because the mean of its divisors is an integer number (501056005129).

Almost surely, 2^{1002112010257} is an apocalyptic number.

It is an amenable number.

1002112010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112010257 is an equidigital number, since it uses as much as digits as its factorization.

1002112010257 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1002112010257 its reverse (7520102112001), we get a palindrome (8522214122258).

The spelling of 1002112010257 in words is "one trillion, two billion, one hundred twelve million, ten thousand, two hundred fifty-seven".