210202020112122 has 192 divisors, whose sum is σ = 478138310657280. Its totient is φ = 66676984704000.

The previous prime is 210202020112081. The next prime is 210202020112141. The reversal of 210202020112122 is 221211020202012.

It is a happy number.

210202020112122 is a `hidden beast` number, since 210 + 20 + 20 + 201 + 1 + 212 + 2 = 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 = 210202020112095 and 210202020112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6531445243 + ... + 6531477425.

It is an arithmetic number, because the mean of its divisors is an integer number (2490303701340).

Almost surely, 2^{210202020112122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210202020112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239069155328640).

210202020112122 is an abundant number, since it is smaller than the sum of its proper divisors (267936290545158).

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

210202020112122 is a wasteful number, since it uses less digits than its factorization.

210202020112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33509 (or 33506 counting only the distinct ones).

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

Adding to 210202020112122 its reverse (221211020202012), we get a palindrome (431413040314134).

The spelling of 210202020112122 in words is "two hundred ten trillion, two hundred two billion, twenty million, one hundred twelve thousand, one hundred twenty-two".