1000112202281 has 2 divisors, whose sum is σ = 1000112202282. Its totient is φ = 1000112202280.

The previous prime is 1000112202239. The next prime is 1000112202371. The reversal of 1000112202281 is 1822022110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 502404528025 + 497707674256 = 708805^2 + 705484^2 .

It is an emirp because it is prime and its reverse (1822022110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000112202281 - 2¹⁸ = 1000111940137 is a prime.

It is a super-2 number, since 2×1000112202281² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000112222281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500056101140 + 500056101141.

It is an arithmetic number, because the mean of its divisors is an integer number (500056101141).

Almost surely, 2^{1000112202281} is an apocalyptic number.

It is an amenable number.

1000112202281 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112202281 is an equidigital number, since it uses as much as digits as its factorization.

1000112202281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1000112202281 its reverse (1822022110001), we get a palindrome (2822134312282).

The spelling of 1000112202281 in words is "one trillion, one hundred twelve million, two hundred two thousand, two hundred eighty-one".