103301123220 has 144 divisors (see below), whose sum is σ = 331905279888. Its totient is φ = 25916682240.

The previous prime is 103301123197. The next prime is 103301123293. The reversal of 103301123220 is 22321103301.

103301123220 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 12 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9657779076 + 93643344144 = 98274^2 + 306012^2 .

It is a super-2 number, since 2×103301123220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103301123193 and 103301123202.

It is a congruent number.

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, 11247030 + ... + 11256210.

It is an arithmetic number, because the mean of its divisors is an integer number (2304897777).

Almost surely, 2^103301123220 is an apocalyptic number.

103301123220 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 103301123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165952639944).

103301123220 is an abundant number, since it is smaller than the sum of its proper divisors (228604156668).

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

103301123220 is a wasteful number, since it uses less digits than its factorization.

103301123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890 (or 12885 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103301123220 its reverse (22321103301), we get a palindrome (125622226521).

The spelling of 103301123220 in words is "one hundred three billion, three hundred one million, one hundred twenty-three thousand, two hundred twenty".