100434110211123 has 32 divisors (see below), whose sum is σ = 144820781521920. Its totient is φ = 61545178705920.

The previous prime is 100434110211109. The next prime is 100434110211151. The reversal of 100434110211123 is 321112011434001.

It is not a de Polignac number, because 100434110211123 - 2⁵ = 100434110211091 is a prime.

It is a super-2 number, since 2×100434110211123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100434110211093 and 100434110211102.

It is not an unprimeable number, because it can be changed into a prime (100434110211923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356601868 + ... + 356883398.

It is an arithmetic number, because the mean of its divisors is an integer number (4525649422560).

Almost surely, 2^{100434110211123} is an apocalyptic number.

100434110211123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100434110211123 is a deficient number, since it is larger than the sum of its proper divisors (44386671310797).

100434110211123 is a wasteful number, since it uses less digits than its factorization.

100434110211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320059.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100434110211123 its reverse (321112011434001), we get a palindrome (421546121645124).

The spelling of 100434110211123 in words is "one hundred trillion, four hundred thirty-four billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-three".