100112200010001 has 96 divisors (see below), whose sum is σ = 151191626332032. Its totient is φ = 63785978081280.

The previous prime is 100112200009933. The next prime is 100112200010027. The reversal of 100112200010001 is 100010002211001.

It is a happy number.

It is not a de Polignac number, because 100112200010001 - 2³¹ = 100110052526353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100112200010401) 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 95 ways as a sum of consecutive naturals, for example, 1865753965 + ... + 1865807621.

It is an arithmetic number, because the mean of its divisors is an integer number (1574912774292).

Almost surely, 2^{100112200010001} is an apocalyptic number.

It is an amenable number.

100112200010001 is a deficient number, since it is larger than the sum of its proper divisors (51079426322031).

100112200010001 is a wasteful number, since it uses less digits than its factorization.

100112200010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54303 (or 54300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100112200010001 its reverse (100010002211001), we get a palindrome (200122202221002).

The spelling of 100112200010001 in words is "one hundred trillion, one hundred twelve billion, two hundred million, ten thousand, one".