100043129 has 2 divisors, whose sum is σ = 100043130. Its totient is φ = 100043128.

The previous prime is 100043093. The next prime is 100043131. The reversal of 100043129 is 921340001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54169600 + 45873529 = 7360^2 + 6773^2 .

It is a cyclic number.

It is not a de Polignac number, because 100043129 - 2¹⁶ = 99977593 is a prime.

It is a super-2 number, since 2×100043129² = 20017255320221282, which contains 22 as substring.

Together with 100043131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100043129.

It is not a weakly prime, because it can be changed into another prime (100043149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50021564 + 50021565.

It is an arithmetic number, because the mean of its divisors is an integer number (50021565).

Almost surely, 2^100043129 is an apocalyptic number.

It is an amenable number.

100043129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100043129 is an equidigital number, since it uses as much as digits as its factorization.

100043129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 100043129 is about 10002.1562175363. The cubic root of 100043129 is about 464.2256027987.

The spelling of 100043129 in words is "one hundred million, forty-three thousand, one hundred twenty-nine".