102212202210200 has 96 divisors (see below), whose sum is σ = 243557214197760. Its totient is φ = 39873593040000.

The previous prime is 102212202210149. The next prime is 102212202210221. The reversal of 102212202210200 is 2012202212201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16551176 + ... + 21871575.

It is an arithmetic number, because the mean of its divisors is an integer number (2537054314560).

Almost surely, 2^{102212202210200} is an apocalyptic number.

102212202210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212202210200 is an abundant number, since it is smaller than the sum of its proper divisors (141345011987560).

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

102212202210200 is a wasteful number, since it uses less digits than its factorization.

102212202210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38423097 (or 38423088 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102212202210200 its reverse (2012202212201), we get a palindrome (104224404422401).

The spelling of 102212202210200 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, two hundred ten thousand, two hundred".