2110112110101 has 16 divisors (see below), whose sum is σ = 2936273066496. Its totient is φ = 1345365651696.

The previous prime is 2110112110081. The next prime is 2110112110187. The reversal of 2110112110101 is 1010112110112.

It is not a de Polignac number, because 2110112110101 - 2³³ = 2101522175509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110132110101) 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, 1981975 + ... + 2854548.

It is an arithmetic number, because the mean of its divisors is an integer number (183517066656).

Almost surely, 2^{2110112110101} is an apocalyptic number.

It is an amenable number.

2110112110101 is a deficient number, since it is larger than the sum of its proper divisors (826160956395).

2110112110101 is a wasteful number, since it uses less digits than its factorization.

2110112110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842872.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2110112110101 its reverse (1010112110112), we get a palindrome (3120224220213).

The spelling of 2110112110101 in words is "two trillion, one hundred ten billion, one hundred twelve million, one hundred ten thousand, one hundred one".