2112010100112 has 40 divisors (see below), whose sum is σ = 5952028465440. Its totient is φ = 640003060480.

The previous prime is 2112010100059. The next prime is 2112010100273. The reversal of 2112010100112 is 2110010102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000009037 + ... + 2000010092.

It is an arithmetic number, because the mean of its divisors is an integer number (148800711636).

Almost surely, 2^{2112010100112} is an apocalyptic number.

2112010100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112010100112 is an abundant number, since it is smaller than the sum of its proper divisors (3840018365328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112010100112 is a wasteful number, since it uses less digits than its factorization.

2112010100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000019151 (or 4000019145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112010100112 its reverse (2110010102112), we get a palindrome (4222020202224).

It can be divided in two parts, 2112010 and 100112, that added together give a palindrome (2212122).

The spelling of 2112010100112 in words is "two trillion, one hundred twelve billion, ten million, one hundred thousand, one hundred twelve".