10100410129 has 2 divisors, whose sum is σ = 10100410130. Its totient is φ = 10100410128.

The previous prime is 10100410123. The next prime is 10100410157. The reversal of 10100410129 is 92101400101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9020630529 + 1079779600 = 94977^2 + 32860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100410129 - 2⁵ = 10100410097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100410123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050205064 + 5050205065.

It is an arithmetic number, because the mean of its divisors is an integer number (5050205065).

Almost surely, 2^10100410129 is an apocalyptic number.

It is an amenable number.

10100410129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100410129 is an equidigital number, since it uses as much as digits as its factorization.

10100410129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10100410129 in words is "ten billion, one hundred million, four hundred ten thousand, one hundred twenty-nine".