103100221321220 has 192 divisors, whose sum is σ = 226777383467712. Its totient is φ = 39335362560000.

The previous prime is 103100221321189. The next prime is 103100221321231. The reversal of 103100221321220 is 22123122001301.

It can be written as a sum of positive squares in 32 ways, for example, as 12098390019076 + 91001831302144 = 3478274^2 + 9539488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103100221321192 and 103100221321201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15070925000 + ... + 15070931840.

It is an arithmetic number, because the mean of its divisors is an integer number (1181132205561).

Almost surely, 2^{103100221321220} is an apocalyptic number.

103100221321220 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 103100221321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113388691733856).

103100221321220 is an abundant number, since it is smaller than the sum of its proper divisors (123677162146492).

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

103100221321220 is a wasteful number, since it uses less digits than its factorization.

103100221321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103100221321220 its reverse (22123122001301), we get a palindrome (125223343322521).

The spelling of 103100221321220 in words is "one hundred three trillion, one hundred billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".