100421042129 has 2 divisors, whose sum is σ = 100421042130. Its totient is φ = 100421042128.

The previous prime is 100421042107. The next prime is 100421042143. The reversal of 100421042129 is 921240124001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91039182529 + 9381859600 = 301727^2 + 96860^2 .

It is an emirp because it is prime and its reverse (921240124001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100421042129 - 2⁸ = 100421041873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100421042098 and 100421042107.

It is not a weakly prime, because it can be changed into another prime (100421045129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50210521064 + 50210521065.

It is an arithmetic number, because the mean of its divisors is an integer number (50210521065).

Almost surely, 2^100421042129 is an apocalyptic number.

It is an amenable number.

100421042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100421042129 is an equidigital number, since it uses as much as digits as its factorization.

100421042129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 100421042129 in words is "one hundred billion, four hundred twenty-one million, forty-two thousand, one hundred twenty-nine".