2112100112105 has 32 divisors (see below), whose sum is σ = 2831034447360. Its totient is φ = 1503290603520.

The previous prime is 2112100112047. The next prime is 2112100112107. The reversal of 2112100112105 is 5012110012112.

It is not a de Polignac number, because 2112100112105 - 2¹⁰ = 2112100111081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2112100112107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692801 + ... + 2168910.

It is an arithmetic number, because the mean of its divisors is an integer number (88469826480).

Almost surely, 2^{2112100112105} is an apocalyptic number.

It is an amenable number.

2112100112105 is a deficient number, since it is larger than the sum of its proper divisors (718934335255).

2112100112105 is a wasteful number, since it uses less digits than its factorization.

2112100112105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862209.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 2112100112105 its reverse (5012110012112), we get a palindrome (7124210124217).

The spelling of 2112100112105 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred five".