100106110012 has 24 divisors (see below), whose sum is σ = 181242401760. Its totient is φ = 48322868160.

The previous prime is 100106109991. The next prime is 100106110051. The reversal of 100106110012 is 210011601001.

It is a junction number, because it is equal to n+sod(n) for n = 100106109974 and 100106110001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603462 + ... + 1664722.

It is an arithmetic number, because the mean of its divisors is an integer number (7551766740).

Almost surely, 2^100106110012 is an apocalyptic number.

It is an amenable number.

100106110012 is a deficient number, since it is larger than the sum of its proper divisors (81136291748).

100106110012 is a wasteful number, since it uses less digits than its factorization.

100106110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75381 (or 75379 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100106110012 its reverse (210011601001), we get a palindrome (310117711013).

The spelling of 100106110012 in words is "one hundred billion, one hundred six million, one hundred ten thousand, twelve".