100330111361 has 2 divisors, whose sum is σ = 100330111362. Its totient is φ = 100330111360.

The previous prime is 100330111291. The next prime is 100330111397. The reversal of 100330111361 is 163111033001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82897926400 + 17432184961 = 287920^2 + 132031^2 .

It is a cyclic number.

It is not a de Polignac number, because 100330111361 - 2³⁴ = 83150242177 is a prime.

It is a super-2 number, since 2×100330111361² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100330111561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165055680 + 50165055681.

It is an arithmetic number, because the mean of its divisors is an integer number (50165055681).

Almost surely, 2^100330111361 is an apocalyptic number.

It is an amenable number.

100330111361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330111361 is an equidigital number, since it uses as much as digits as its factorization.

100330111361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100330111361 its reverse (163111033001), we get a palindrome (263441144362).

The spelling of 100330111361 in words is "one hundred billion, three hundred thirty million, one hundred eleven thousand, three hundred sixty-one".