103301221020000 has 240 divisors, whose sum is σ = 338875046460720. Its totient is φ = 27544847616000.

The previous prime is 103301221019939. The next prime is 103301221020001. The reversal of 103301221020000 is 20122103301.

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

It is a super-2 number, since 2×103301221020000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301221020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 863280174 + ... + 863399826.

It is an arithmetic number, because the mean of its divisors is an integer number (1411979360253).

Almost surely, 2^{103301221020000} is an apocalyptic number.

103301221020000 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 103301221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169437523230360).

103301221020000 is an abundant number, since it is smaller than the sum of its proper divisors (235573825440720).

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

103301221020000 is a wasteful number, since it uses less digits than its factorization.

103301221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134075 (or 134052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103301221020000 its reverse (20122103301), we get a palindrome (103321343123301).

The spelling of 103301221020000 in words is "one hundred three trillion, three hundred one billion, two hundred twenty-one million, twenty thousand".