100116050129 has 2 divisors, whose sum is σ = 100116050130. Its totient is φ = 100116050128.

The previous prime is 100116050087. The next prime is 100116050137. The reversal of 100116050129 is 921050611001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98377577104 + 1738473025 = 313652^2 + 41695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100116050129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100116050098 and 100116050107.

It is not a weakly prime, because it can be changed into another prime (100116050179) 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, 50058025064 + 50058025065.

It is an arithmetic number, because the mean of its divisors is an integer number (50058025065).

Almost surely, 2^100116050129 is an apocalyptic number.

It is an amenable number.

100116050129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100116050129 is an equidigital number, since it uses as much as digits as its factorization.

100116050129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 100116050129 in words is "one hundred billion, one hundred sixteen million, fifty thousand, one hundred twenty-nine".