100330114349 has 2 divisors, whose sum is σ = 100330114350. Its totient is φ = 100330114348.

The previous prime is 100330114333. The next prime is 100330114351. The reversal of 100330114349 is 943411033001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100188075625 + 142038724 = 316525^2 + 11918^2 .

It is an emirp because it is prime and its reverse (943411033001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100330114349 - 2⁴ = 100330114333 is a prime.

It is a super-2 number, since 2×100330114349² (a number of 23 digits) contains 22 as substring.

Together with 100330114351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100330114399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165057174 + 50165057175.

It is an arithmetic number, because the mean of its divisors is an integer number (50165057175).

Almost surely, 2^100330114349 is an apocalyptic number.

It is an amenable number.

100330114349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330114349 is an equidigital number, since it uses as much as digits as its factorization.

100330114349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 100330114349 in words is "one hundred billion, three hundred thirty million, one hundred fourteen thousand, three hundred forty-nine".