103022222113200 has 240 divisors, whose sum is σ = 370852436424960. Its totient is φ = 24256737162240.

The previous prime is 103022222113123. The next prime is 103022222113201. The reversal of 103022222113200 is 2311222220301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103022222113200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103022222113201) 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 47 ways as a sum of consecutive naturals, for example, 143206170 + ... + 143923769.

It is an arithmetic number, because the mean of its divisors is an integer number (1545218485104).

Almost surely, 2^{103022222113200} is an apocalyptic number.

103022222113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103022222113200 is an abundant number, since it is smaller than the sum of its proper divisors (267830214311760).

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

103022222113200 is a wasteful number, since it uses less digits than its factorization.

103022222113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287129996 (or 287129985 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103022222113200 its reverse (2311222220301), we get a palindrome (105333444333501).

The spelling of 103022222113200 in words is "one hundred three trillion, twenty-two billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred".