102200221200220 has 768 divisors, whose sum is σ = 275437317625344. Its totient is φ = 31284264960000.

The previous prime is 102200221200199. The next prime is 102200221200221. The reversal of 102200221200220 is 22002122002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200221200194 and 102200221200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200221200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49111109580 + ... + 49111111660.

It is an arithmetic number, because the mean of its divisors is an integer number (358642340658).

Almost surely, 2^{102200221200220} is an apocalyptic number.

102200221200220 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 102200221200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137718658812672).

102200221200220 is an abundant number, since it is smaller than the sum of its proper divisors (173237096425124).

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

102200221200220 is a wasteful number, since it uses less digits than its factorization.

102200221200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102200221200220 its reverse (22002122002201), we get a palindrome (124202343202421).

It can be divided in two parts, 1022002 and 21200220, that added together give a palindrome (22222222).

The spelling of 102200221200220 in words is "one hundred two trillion, two hundred billion, two hundred twenty-one million, two hundred thousand, two hundred twenty".