102020202200 has 192 divisors, whose sum is σ = 279556392960. Its totient is φ = 33899512320.

The previous prime is 102020202187. The next prime is 102020202209. The reversal of 102020202200 is 2202020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020202209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6769874 + ... + 6784926.

It is an arithmetic number, because the mean of its divisors is an integer number (1456022880).

Almost surely, 2^102020202200 is an apocalyptic number.

102020202200 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 102020202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139778196480).

102020202200 is an abundant number, since it is smaller than the sum of its proper divisors (177536190760).

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

102020202200 is a wasteful number, since it uses less digits than its factorization.

102020202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102020202200 its reverse (2202020201), we get a palindrome (104222222401).

The spelling of 102020202200 in words is "one hundred two billion, twenty million, two hundred two thousand, two hundred".