103221011220000 has 960 divisors, whose sum is σ = 352250527749120. Its totient is φ = 26435814912000.

The previous prime is 103221011219981. The next prime is 103221011220011. The reversal of 103221011220000 is 22110122301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101296379491 + ... + 101296380509.

It is an arithmetic number, because the mean of its divisors is an integer number (366927633072).

Almost surely, 2^{103221011220000} is an apocalyptic number.

103221011220000 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 103221011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176125263874560).

103221011220000 is an abundant number, since it is smaller than the sum of its proper divisors (249029516529120).

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

103221011220000 is a wasteful number, since it uses less digits than its factorization.

103221011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103221011220000 its reverse (22110122301), we get a palindrome (103243121342301).

The spelling of 103221011220000 in words is "one hundred three trillion, two hundred twenty-one billion, eleven million, two hundred twenty thousand".