202210200112200 has 288 divisors, whose sum is σ = 731495074622400. Its totient is φ = 46073669429760.

The previous prime is 202210200112171. The next prime is 202210200112223. The reversal of 202210200112200 is 2211002012202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202210200112200.

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, 1528620 + ... + 20168219.

It is an arithmetic number, because the mean of its divisors is an integer number (2539913453550).

Almost surely, 2^{202210200112200} is an apocalyptic number.

202210200112200 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 202210200112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365747537311200).

202210200112200 is an abundant number, since it is smaller than the sum of its proper divisors (529284874510200).

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

202210200112200 is a wasteful number, since it uses less digits than its factorization.

202210200112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21697189 (or 21697173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202210200112200 its reverse (2211002012202), we get a palindrome (204421202124402).

The spelling of 202210200112200 in words is "two hundred two trillion, two hundred ten billion, two hundred million, one hundred twelve thousand, two hundred".