212112222100002 has 160 divisors (see below), whose sum is σ = 571888331182080. Its totient is φ = 57402518508000.

The previous prime is 212112222099997. The next prime is 212112222100013. The reversal of 212112222100002 is 200001222211212.

It is a happy number.

212112222100002 is a `hidden beast` number, since 21 + 211 + 222 + 210 + 0 + 0 + 0 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 108636877 + ... + 110572127.

It is an arithmetic number, because the mean of its divisors is an integer number (3574302069888).

Almost surely, 2^{212112222100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112222100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285944165591040).

212112222100002 is an abundant number, since it is smaller than the sum of its proper divisors (359776109082078).

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

212112222100002 is a wasteful number, since it uses less digits than its factorization.

212112222100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940378 (or 1940369 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212112222100002 its reverse (200001222211212), we get a palindrome (412113444311214).

The spelling of 212112222100002 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand, two".