100333003304129 has 2 divisors, whose sum is σ = 100333003304130. Its totient is φ = 100333003304128.

The previous prime is 100333003304123. The next prime is 100333003304137. The reversal of 100333003304129 is 921403300333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94030257486400 + 6302745817729 = 9696920^2 + 2510527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100333003304129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100333003304095 and 100333003304104.

It is not a weakly prime, because it can be changed into another prime (100333003304123) 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, 50166501652064 + 50166501652065.

It is an arithmetic number, because the mean of its divisors is an integer number (50166501652065).

Almost surely, 2^{100333003304129} is an apocalyptic number.

It is an amenable number.

100333003304129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333003304129 is an equidigital number, since it uses as much as digits as its factorization.

100333003304129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 100333003304129 in words is "one hundred trillion, three hundred thirty-three billion, three million, three hundred four thousand, one hundred twenty-nine".