210012222100120 has 128 divisors (see below), whose sum is σ = 517219517767680. Its totient is φ = 76111379200000.

The previous prime is 210012222100099. The next prime is 210012222100123. The reversal of 210012222100120 is 21001222210012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210012222100094 and 210012222100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012222100123) 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 31 ways as a sum of consecutive naturals, for example, 202565379 + ... + 203599501.

It is an arithmetic number, because the mean of its divisors is an integer number (4040777482560).

Almost surely, 2^{210012222100120} is an apocalyptic number.

210012222100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210012222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258609758883840).

210012222100120 is an abundant number, since it is smaller than the sum of its proper divisors (307207295667560).

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

210012222100120 is a wasteful number, since it uses less digits than its factorization.

210012222100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035697 (or 1035693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210012222100120 its reverse (21001222210012), we get a palindrome (231013444310132).

It can be divided in two parts, 2100122 and 22100120, that added together give a palindrome (24200242).

The spelling of 210012222100120 in words is "two hundred ten trillion, twelve billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".