212100021112122 has 512 divisors, whose sum is σ = 566036553600000. Its totient is φ = 58752631756800.

The previous prime is 212100021112121. The next prime is 212100021112163. The reversal of 212100021112122 is 221211120001212.

212100021112122 is a `hidden beast` number, since 212 + 100 + 0 + 211 + 121 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212100021112095 and 212100021112104.

It is not an unprimeable number, because it can be changed into a prime (212100021112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32525686222 + ... + 32525692742.

It is an arithmetic number, because the mean of its divisors is an integer number (1105540143750).

Almost surely, 2^{212100021112122} is an apocalyptic number.

212100021112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100021112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283018276800000).

212100021112122 is an abundant number, since it is smaller than the sum of its proper divisors (353936532487878).

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

212100021112122 is a wasteful number, since it uses less digits than its factorization.

212100021112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7048 counting only the distinct ones).

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

Adding to 212100021112122 its reverse (221211120001212), we get a palindrome (433311141113334).

The spelling of 212100021112122 in words is "two hundred twelve trillion, one hundred billion, twenty-one million, one hundred twelve thousand, one hundred twenty-two".