103202221200 has 240 divisors, whose sum is σ = 356348025600. Its totient is φ = 25380311040.

The previous prime is 103202221159. The next prime is 103202221211. The reversal of 103202221200 is 2122202301.

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-2 number, since 2×103202221200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103202221200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22196476 + ... + 22201124.

It is an arithmetic number, because the mean of its divisors is an integer number (1484783440).

Almost surely, 2^103202221200 is an apocalyptic number.

103202221200 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 103202221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178174012800).

103202221200 is an abundant number, since it is smaller than the sum of its proper divisors (253145804400).

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

103202221200 is a wasteful number, since it uses less digits than its factorization.

103202221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103202221200 its reverse (2122202301), we get a palindrome (105324423501).

The spelling of 103202221200 in words is "one hundred three billion, two hundred two million, two hundred twenty-one thousand, two hundred".