100107016202106 has 12 divisors (see below), whose sum is σ = 216898535104602. Its totient is φ = 33369005400696.

The previous prime is 100107016202101. The next prime is 100107016202129. The reversal of 100107016202106 is 601202610701001.

It is a happy number.

100107016202106 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 7 + 0 + 1 + 620 + 21 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70194922254081 + 29912093948025 = 8378241^2 + 5469195^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100107016202106.

It is not an unprimeable number, because it can be changed into a prime (100107016202101) 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 5 ways as a sum of consecutive naturals, for example, 2780750450041 + ... + 2780750450076.

Almost surely, 2^{100107016202106} is an apocalyptic number.

100107016202106 is an abundant number, since it is smaller than the sum of its proper divisors (116791518902496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100107016202106 is a wasteful number, since it uses less digits than its factorization.

100107016202106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561500900125 (or 5561500900122 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 100107016202106 its reverse (601202610701001), we get a palindrome (701309626903107).

The spelling of 100107016202106 in words is "one hundred trillion, one hundred seven billion, sixteen million, two hundred two thousand, one hundred six".