102220200000 has 504 divisors, whose sum is σ = 370290440520. Its totient is φ = 26956800000.

The previous prime is 102220199999. The next prime is 102220200011. The reversal of 102220200000 is 2022201.

It can be written as a sum of positive squares in 12 ways, for example, as 102133933056 + 86266944 = 319584^2 + 9288^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196199740 + ... + 196200260.

It is an arithmetic number, because the mean of its divisors is an integer number (734703255).

Almost surely, 2^102220200000 is an apocalyptic number.

102220200000 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 102220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185145220260).

102220200000 is an abundant number, since it is smaller than the sum of its proper divisors (268070240520).

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

102220200000 is an equidigital number, since it uses as much as digits as its factorization.

102220200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102220200000 its reverse (2022201), we get a palindrome (102222222201).

The spelling of 102220200000 in words is "one hundred two billion, two hundred twenty million, two hundred thousand".