102200220222200 has 96 divisors (see below), whose sum is σ = 239458506487200. Its totient is φ = 40563874314240.

The previous prime is 102200220222179. The next prime is 102200220222203. The reversal of 102200220222200 is 2222022002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200220222203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16315772 + ... + 21693428.

It is an arithmetic number, because the mean of its divisors is an integer number (2494359442575).

Almost surely, 2^{102200220222200} is an apocalyptic number.

102200220222200 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 102200220222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119729253243600).

102200220222200 is an abundant number, since it is smaller than the sum of its proper divisors (137258286265000).

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

102200220222200 is a wasteful number, since it uses less digits than its factorization.

102200220222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378409 (or 5378400 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 102200220222200 its reverse (2222022002201), we get a palindrome (104422242224401).

The spelling of 102200220222200 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".