100182819281 has 2 divisors, whose sum is σ = 100182819282. Its totient is φ = 100182819280.

The previous prime is 100182819263. The next prime is 100182819283. The reversal of 100182819281 is 182918281001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95733929281 + 4448890000 = 309409^2 + 66700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100182819281 is a prime.

It is a super-2 number, since 2×100182819281² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 100182819283, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100182819283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50091409640 + 50091409641.

It is an arithmetic number, because the mean of its divisors is an integer number (50091409641).

Almost surely, 2^100182819281 is an apocalyptic number.

It is an amenable number.

100182819281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100182819281 is an equidigital number, since it uses as much as digits as its factorization.

100182819281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 41.

The spelling of 100182819281 in words is "one hundred billion, one hundred eighty-two million, eight hundred nineteen thousand, two hundred eighty-one".