103220332201200 has 240 divisors, whose sum is σ = 331072643744640. Its totient is φ = 27490187965440.

The previous prime is 103220332201127. The next prime is 103220332201223. The reversal of 103220332201200 is 2102233022301.

It is a happy number.

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

It is a super-3 number, since 3×103220332201200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328276894 + ... + 3328307906.

It is an arithmetic number, because the mean of its divisors is an integer number (1379469348936).

Almost surely, 2^{103220332201200} is an apocalyptic number.

103220332201200 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 103220332201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165536321872320).

103220332201200 is an abundant number, since it is smaller than the sum of its proper divisors (227852311543440).

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

103220332201200 is a wasteful number, since it uses less digits than its factorization.

103220332201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34496 (or 34485 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103220332201200 its reverse (2102233022301), we get a palindrome (105322565223501).

The spelling of 103220332201200 in words is "one hundred three trillion, two hundred twenty billion, three hundred thirty-two million, two hundred one thousand, two hundred".