100112100101101 has 16 divisors (see below), whose sum is σ = 109318909608000. Its totient is φ = 90922948230400.

The previous prime is 100112100101093. The next prime is 100112100101161. The reversal of 100112100101101 is 101101001211001.

It is not a de Polignac number, because 100112100101101 - 2³ = 100112100101093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112100101161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49969125 + ... + 51933973.

It is an arithmetic number, because the mean of its divisors is an integer number (6832431850500).

Almost surely, 2^{100112100101101} is an apocalyptic number.

100112100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112100101101 is a deficient number, since it is larger than the sum of its proper divisors (9206809506899).

100112100101101 is a wasteful number, since it uses less digits than its factorization.

100112100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969340.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100112100101101 its reverse (101101001211001), we get a palindrome (201213101312102).

The spelling of 100112100101101 in words is "one hundred trillion, one hundred twelve billion, one hundred million, one hundred one thousand, one hundred one".