1000112021221 has 2 divisors, whose sum is σ = 1000112021222. Its totient is φ = 1000112021220.

The previous prime is 1000112021197. The next prime is 1000112021299. The reversal of 1000112021221 is 1221202110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 683621390596 + 316490630625 = 826814^2 + 562575^2 .

It is an emirp because it is prime and its reverse (1221202110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000112021221 - 2⁹ = 1000112020709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000112921221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500056010610 + 500056010611.

It is an arithmetic number, because the mean of its divisors is an integer number (500056010611).

Almost surely, 2^{1000112021221} is an apocalyptic number.

It is an amenable number.

1000112021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112021221 is an equidigital number, since it uses as much as digits as its factorization.

1000112021221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1000112021221 its reverse (1221202110001), we get a palindrome (2221314131222).

The spelling of 1000112021221 in words is "one trillion, one hundred twelve million, twenty-one thousand, two hundred twenty-one".