100501010000106 has 16 divisors (see below), whose sum is σ = 201002157042624. Its totient is φ = 33500313826304.

The previous prime is 100501010000077. The next prime is 100501010000113. The reversal of 100501010000106 is 601000010105001.

It is a super-3 number, since 3×100501010000106³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5523571 + ... + 15215513.

It is an arithmetic number, because the mean of its divisors is an integer number (12562634815164).

Almost surely, 2^{100501010000106} is an apocalyptic number.

100501010000106 is an abundant number, since it is smaller than the sum of its proper divisors (100501147042518).

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

100501010000106 is a wasteful number, since it uses less digits than its factorization.

100501010000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420205.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 100501010000106 its reverse (601000010105001), we get a palindrome (701501020105107).

The spelling of 100501010000106 in words is "one hundred trillion, five hundred one billion, ten million, one hundred six", and thus it is an aban number.