100414123113 has 8 divisors (see below), whose sum is σ = 134018192800. Its totient is φ = 66876401088.

The previous prime is 100414123099. The next prime is 100414123123. The reversal of 100414123113 is 311321414001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100414123113 - 2⁸ = 100414122857 is a prime.

It is a super-2 number, since 2×100414123113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100414123113.

It is not an unprimeable number, because it can be changed into a prime (100414123123) 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 7 ways as a sum of consecutive naturals, for example, 16583383 + ... + 16589436.

It is an arithmetic number, because the mean of its divisors is an integer number (16752274100).

Almost surely, 2^100414123113 is an apocalyptic number.

It is an amenable number.

100414123113 is a deficient number, since it is larger than the sum of its proper divisors (33604069687).

100414123113 is a wasteful number, since it uses less digits than its factorization.

100414123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33173831.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100414123113 its reverse (311321414001), we get a palindrome (411735537114).

The spelling of 100414123113 in words is "one hundred billion, four hundred fourteen million, one hundred twenty-three thousand, one hundred thirteen".