100112331132123 has 8 divisors (see below), whose sum is σ = 133483577627136. Its totient is φ = 66741319362600.

The previous prime is 100112331132113. The next prime is 100112331132167. The reversal of 100112331132123 is 321231133211001.

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

It is not a de Polignac number, because 100112331132123 - 2²⁴ = 100112314354907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112331132093 and 100112331132102.

It is not an unprimeable number, because it can be changed into a prime (100112331132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57683763 + ... + 59393948.

It is an arithmetic number, because the mean of its divisors is an integer number (16685447203392).

Almost surely, 2^{100112331132123} is an apocalyptic number.

100112331132123 is a deficient number, since it is larger than the sum of its proper divisors (33371246495013).

100112331132123 is a wasteful number, since it uses less digits than its factorization.

100112331132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117362745.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100112331132123 its reverse (321231133211001), we get a palindrome (421343464343124).

The spelling of 100112331132123 in words is "one hundred trillion, one hundred twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-three".