100223210229281 has 2 divisors, whose sum is σ = 100223210229282. Its totient is φ = 100223210229280.

The previous prime is 100223210229277. The next prime is 100223210229287. The reversal of 100223210229281 is 182922012322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98030098030225 + 2193112199056 = 9901015^2 + 1480916^2 .

It is a cyclic number.

It is not a de Polignac number, because 100223210229281 - 2² = 100223210229277 is a prime.

It is a super-2 number, since 2×100223210229281² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100223210229287) 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, 50111605114640 + 50111605114641.

It is an arithmetic number, because the mean of its divisors is an integer number (50111605114641).

Almost surely, 2^{100223210229281} is an apocalyptic number.

It is an amenable number.

100223210229281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100223210229281 is an equidigital number, since it uses as much as digits as its factorization.

100223210229281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 100223210229281 in words is "one hundred trillion, two hundred twenty-three billion, two hundred ten million, two hundred twenty-nine thousand, two hundred eighty-one".