100112200001 has 16 divisors (see below), whose sum is σ = 110932383168. Its totient is φ = 89588952000.

The previous prime is 100112199989. The next prime is 100112200003. The reversal of 100112200001 is 100002211001.

It is a cyclic number.

It is not a de Polignac number, because 100112200001 - 2³⁰ = 99038458177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68231 + ... + 452636.

It is an arithmetic number, because the mean of its divisors is an integer number (6933273948).

Almost surely, 2^100112200001 is an apocalyptic number.

100112200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112200001 is a deficient number, since it is larger than the sum of its proper divisors (10820183167).

100112200001 is a wasteful number, since it uses less digits than its factorization.

100112200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521152.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100112200001 its reverse (100002211001), we get a palindrome (200114411002).

The spelling of 100112200001 in words is "one hundred billion, one hundred twelve million, two hundred thousand, one".