100082141 has 2 divisors, whose sum is σ = 100082142. Its totient is φ = 100082140.

The previous prime is 100082123. The next prime is 100082149. The reversal of 100082141 is 141280001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57441241 + 42640900 = 7579^2 + 6530^2 .

It is an emirp because it is prime and its reverse (141280001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100082141 - 2²⁶ = 32973277 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100082149) 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, 50041070 + 50041071.

It is an arithmetic number, because the mean of its divisors is an integer number (50041071).

Almost surely, 2^100082141 is an apocalyptic number.

It is an amenable number.

100082141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100082141 is an equidigital number, since it uses as much as digits as its factorization.

100082141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 100082141 is about 10004.1062069532. The cubic root of 100082141 is about 464.2859368294.

The spelling of 100082141 in words is "one hundred million, eighty-two thousand, one hundred forty-one".