100123110113 has 8 divisors (see below), whose sum is σ = 107833289256. Its totient is φ = 92414131200.

The previous prime is 100123110091. The next prime is 100123110119. The reversal of 100123110113 is 311011321001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13117579024 + 87005531089 = 114532^2 + 294967^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100123110113 - 2¹⁶ = 100123044577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100123110119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122918 + ... + 464063.

It is an arithmetic number, because the mean of its divisors is an integer number (13479161157).

Almost surely, 2^100123110113 is an apocalyptic number.

100123110113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100123110113 is a deficient number, since it is larger than the sum of its proper divisors (7710179143).

100123110113 is a wasteful number, since it uses less digits than its factorization.

100123110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600115.

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

Adding to 100123110113 its reverse (311011321001), we get a palindrome (411134431114).

The spelling of 100123110113 in words is "one hundred billion, one hundred twenty-three million, one hundred ten thousand, one hundred thirteen".