103222204200 has 240 divisors, whose sum is σ = 359669061180. Its totient is φ = 27436631040.

The previous prime is 103222204199. The next prime is 103222204207. The reversal of 103222204200 is 2402222301.

103222204200 is a `hidden beast` number, since 1 + 0 + 3 + 22 + 220 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11023740036 + 92198464164 = 104994^2 + 303642^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103222204207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5060422 + ... + 5080778.

Almost surely, 2^103222204200 is an apocalyptic number.

103222204200 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 103222204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179834530590).

103222204200 is an abundant number, since it is smaller than the sum of its proper divisors (256446856980).

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

103222204200 is a wasteful number, since it uses less digits than its factorization.

103222204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20698 (or 20680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103222204200 its reverse (2402222301), we get a palindrome (105624426501).

The spelling of 103222204200 in words is "one hundred three billion, two hundred twenty-two million, two hundred four thousand, two hundred".