103220213121300 has 288 divisors, whose sum is σ = 340111575465984. Its totient is φ = 23924856384000.

The previous prime is 103220213121271. The next prime is 103220213121349. The reversal of 103220213121300 is 3121312022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177391437 + ... + 177972363.

It is an arithmetic number, because the mean of its divisors is an integer number (1180942970368).

Almost surely, 2^{103220213121300} is an apocalyptic number.

103220213121300 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 103220213121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170055787732992).

103220213121300 is an abundant number, since it is smaller than the sum of its proper divisors (236891362344684).

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

103220213121300 is a wasteful number, since it uses less digits than its factorization.

103220213121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583319 (or 583312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103220213121300 its reverse (3121312022301), we get a palindrome (106341525143601).

The spelling of 103220213121300 in words is "one hundred three trillion, two hundred twenty billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred".