1102212210200 has 192 divisors, whose sum is σ = 2623837376160. Its totient is φ = 430497054720.

The previous prime is 1102212210191. The next prime is 1102212210233. The reversal of 1102212210200 is 20122122011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286128172 + ... + 1286129028.

Almost surely, 2^{1102212210200} is an apocalyptic number.

1102212210200 is a gapful number since it is divisible by the number (10) 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 1102212210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311918688080).

1102212210200 is an abundant number, since it is smaller than the sum of its proper divisors (1521625165960).

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

1102212210200 is a wasteful number, since it uses less digits than its factorization.

1102212210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102212210200 its reverse (20122122011), we get a palindrome (1122334332211).

The spelling of 1102212210200 in words is "one trillion, one hundred two billion, two hundred twelve million, two hundred ten thousand, two hundred".