102212201102200 has 192 divisors, whose sum is σ = 279158032296000. Its totient is φ = 34788383078400.

The previous prime is 102212201102059. The next prime is 102212201102201. The reversal of 102212201102200 is 2201102212201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212201102201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960340 + ... + 14836060.

It is an arithmetic number, because the mean of its divisors is an integer number (1453948084875).

Almost surely, 2^{102212201102200} is an apocalyptic number.

102212201102200 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 102212201102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139579016148000).

102212201102200 is an abundant number, since it is smaller than the sum of its proper divisors (176945831193800).

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

102212201102200 is a wasteful number, since it uses less digits than its factorization.

102212201102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875895 (or 10875872 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212201102200 its reverse (2201102212201), we get a palindrome (104413303314401).

The spelling of 102212201102200 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, one hundred two thousand, two hundred".