210202202112120 has 384 divisors, whose sum is σ = 727561041480000. Its totient is φ = 52449125253120.

The previous prime is 210202202112083. The next prime is 210202202112139. The reversal of 210202202112120 is 21211202202012.

It is a happy number.

210202202112120 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 220 + 211 + 212 + 0 = 666.

It is a super-3 number, since 3×210202202112120³ (a number of 44 digits) contains 333 as substring.

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 = 210202202112093 and 210202202112102.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4983317430 + ... + 4983359610.

Almost surely, 2^{210202202112120} is an apocalyptic number.

210202202112120 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 210202202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363780520740000).

210202202112120 is an abundant number, since it is smaller than the sum of its proper divisors (517358839367880).

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

210202202112120 is a wasteful number, since it uses less digits than its factorization.

210202202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46943 (or 46936 counting only the distinct ones).

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

Adding to 210202202112120 its reverse (21211202202012), we get a palindrome (231413404314132).

The spelling of 210202202112120 in words is "two hundred ten trillion, two hundred two billion, two hundred two million, one hundred twelve thousand, one hundred twenty".