212112202100112 has 30 divisors (see below), whose sum is σ = 593619565600022. Its totient is φ = 70704067366656.

The previous prime is 212112202100107. The next prime is 212112202100131. The reversal of 212112202100112 is 211001202211212.

212112202100112 is a `hidden beast` number, since 2 + 121 + 1 + 220 + 210 + 0 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201406506034176 + 10705696065936 = 14191776^2 + 3271956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736500701593 + ... + 736500701880.

Almost surely, 2^{212112202100112} is an apocalyptic number.

It is an amenable number.

212112202100112 is an abundant number, since it is smaller than the sum of its proper divisors (381507363499910).

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

212112202100112 is a wasteful number, since it uses less digits than its factorization.

212112202100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473001403487 (or 1473001403478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112202100112 its reverse (211001202211212), we get a palindrome (423113404311324).

It can be divided in two parts, 21211220 and 2100112, that added together give a palindrome (23311332).

The spelling of 212112202100112 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred two million, one hundred thousand, one hundred twelve".