210202120112202 has 144 divisors (see below), whose sum is σ = 484008499473408. Its totient is φ = 65908222585920.

The previous prime is 210202120112189. The next prime is 210202120112219. The reversal of 210202120112202 is 202211021202012.

It is a happy number.

210202120112202 is a `hidden beast` number, since 210 + 20 + 2 + 120 + 112 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2917533343 + ... + 2917605389.

It is an arithmetic number, because the mean of its divisors is an integer number (3361170135232).

Almost surely, 2^{210202120112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210202120112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004249736704).

210202120112202 is an abundant number, since it is smaller than the sum of its proper divisors (273806379361206).

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

210202120112202 is a wasteful number, since it uses less digits than its factorization.

210202120112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77185 (or 77159 counting only the distinct ones).

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

Adding to 210202120112202 its reverse (202211021202012), we get a palindrome (412413141314214).

The spelling of 210202120112202 in words is "two hundred ten trillion, two hundred two billion, one hundred twenty million, one hundred twelve thousand, two hundred two".