100181141 has 2 divisors, whose sum is σ = 100181142. Its totient is φ = 100181140.

The previous prime is 100181087. The next prime is 100181143. The reversal of 100181141 is 141181001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92640625 + 7540516 = 9625^2 + 2746^2 .

It is a cyclic number.

It is not a de Polignac number, because 100181141 - 2²² = 95986837 is a prime.

It is a super-2 number, since 2×100181141² = 20072522024123762, which contains 22 as substring.

Together with 100181143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100181143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50090570 + 50090571.

It is an arithmetic number, because the mean of its divisors is an integer number (50090571).

Almost surely, 2^100181141 is an apocalyptic number.

It is an amenable number.

100181141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100181141 is an equidigital number, since it uses as much as digits as its factorization.

100181141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

The square root of 100181141 is about 10009.0529522028. The cubic root of 100181141 is about 464.4389749900.

The spelling of 100181141 in words is "one hundred million, one hundred eighty-one thousand, one hundred forty-one".