210220121210112 has 216 divisors, whose sum is σ = 654826238657864. Its totient is φ = 64476456026112.

The previous prime is 210220121210093. The next prime is 210220121210117. The reversal of 210220121210112 is 211012121022012.

210220121210112 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 121 + 210 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8650092738816 + 201570028471296 = 2941104^2 + 14197536^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220121210117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836793 + ... + 20586744.

Almost surely, 2^{210220121210112} 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 210220121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327413119328932).

210220121210112 is an abundant number, since it is smaller than the sum of its proper divisors (444606117447752).

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

210220121210112 is a wasteful number, since it uses less digits than its factorization.

210220121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22423885 (or 22423868 counting only the distinct ones).

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

Adding to 210220121210112 its reverse (211012121022012), we get a palindrome (421232242232124).

The spelling of 210220121210112 in words is "two hundred ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".