100111320111 has 16 divisors (see below), whose sum is σ = 154182140928. Its totient is φ = 57104496000.

The previous prime is 100111320053. The next prime is 100111320151. The reversal of 100111320111 is 111023111001.

It is not a de Polignac number, because 100111320111 - 2⁷ = 100111319983 is a prime.

It is a super-2 number, since 2×100111320111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111320151) 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 in 15 ways as a sum of consecutive naturals, for example, 89225215 + ... + 89226336.

It is an arithmetic number, because the mean of its divisors is an integer number (9636383808).

Almost surely, 2^100111320111 is an apocalyptic number.

100111320111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111320111 is a deficient number, since it is larger than the sum of its proper divisors (54070820817).

100111320111 is a wasteful number, since it uses less digits than its factorization.

100111320111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178451582.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111320111 its reverse (111023111001), we get a palindrome (211134431112).

The spelling of 100111320111 in words is "one hundred billion, one hundred eleven million, three hundred twenty thousand, one hundred eleven".