100330112111 has 2 divisors, whose sum is σ = 100330112112. Its totient is φ = 100330112110.

The previous prime is 100330112063. The next prime is 100330112149. The reversal of 100330112111 is 111211033001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100330112111 - 2²² = 100325917807 is a prime.

It is a super-2 number, since 2×100330112111² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100330111111) 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, 50165056055 + 50165056056.

It is an arithmetic number, because the mean of its divisors is an integer number (50165056056).

Almost surely, 2^100330112111 is an apocalyptic number.

100330112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330112111 is an equidigital number, since it uses as much as digits as its factorization.

100330112111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100330112111 its reverse (111211033001), we get a palindrome (211541145112).

The spelling of 100330112111 in words is "one hundred billion, three hundred thirty million, one hundred twelve thousand, one hundred eleven".