100330112329 has 2 divisors, whose sum is σ = 100330112330. Its totient is φ = 100330112328.

The previous prime is 100330112299. The next prime is 100330112357. The reversal of 100330112329 is 923211033001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51914711104 + 48415401225 = 227848^2 + 220035^2 .

It is a cyclic number.

It is not a de Polignac number, because 100330112329 - 2¹³ = 100330104137 is a prime.

It is a super-2 number, since 2×100330112329² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100330112429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165056164 + 50165056165.

It is an arithmetic number, because the mean of its divisors is an integer number (50165056165).

Almost surely, 2^100330112329 is an apocalyptic number.

It is an amenable number.

100330112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330112329 is an equidigital number, since it uses as much as digits as its factorization.

100330112329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 100330112329 in words is "one hundred billion, three hundred thirty million, one hundred twelve thousand, three hundred twenty-nine".