2101212212112 has 120 divisors (see below), whose sum is σ = 6334602960504. Its totient is φ = 646344824832.

The previous prime is 2101212212111. The next prime is 2101212212119. The reversal of 2101212212112 is 2112122121012.

2101212212112 is a `hidden beast` number, since 210 + 1 + 21 + 221 + 211 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48055654656 + 2053156557456 = 219216^2 + 1432884^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2101212212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6569898 + ... + 6882294.

Almost surely, 2^{2101212212112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101212212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167301480252).

2101212212112 is an abundant number, since it is smaller than the sum of its proper divisors (4233390748392).

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

2101212212112 is a wasteful number, since it uses less digits than its factorization.

2101212212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316017 (or 316008 counting only the distinct ones).

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

Adding to 2101212212112 its reverse (2112122121012), we get a palindrome (4213334333124).

The spelling of 2101212212112 in words is "two trillion, one hundred one billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".