100129181 has 2 divisors, whose sum is σ = 100129182. Its totient is φ = 100129180.

The previous prime is 100129177. The next prime is 100129193. The reversal of 100129181 is 181921001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62552281 + 37576900 = 7909^2 + 6130^2 .

It is a cyclic number.

It is not a de Polignac number, because 100129181 - 2² = 100129177 is a prime.

It is a super-2 number, since 2×100129181² = 20051705775461522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100129111) 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, 50064590 + 50064591.

It is an arithmetic number, because the mean of its divisors is an integer number (50064591).

Almost surely, 2^100129181 is an apocalyptic number.

It is an amenable number.

100129181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100129181 is an equidigital number, since it uses as much as digits as its factorization.

100129181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 100129181 is about 10006.4569653799. The cubic root of 100129181 is about 464.3586657214.

The spelling of 100129181 in words is "one hundred million, one hundred twenty-nine thousand, one hundred eighty-one".