103120333221000 has 512 divisors, whose sum is σ = 355222908518400. Its totient is φ = 24808029926400.

The previous prime is 103120333220929. The next prime is 103120333221011. The reversal of 103120333221000 is 122333021301.

It is a super-2 number, since 2×103120333221000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98602837 + ... + 99643163.

It is an arithmetic number, because the mean of its divisors is an integer number (693794743200).

Almost surely, 2^{103120333221000} is an apocalyptic number.

103120333221000 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 103120333221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177611454259200).

103120333221000 is an abundant number, since it is smaller than the sum of its proper divisors (252102575297400).

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

103120333221000 is a wasteful number, since it uses less digits than its factorization.

103120333221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040454 (or 1040440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103120333221000 its reverse (122333021301), we get a palindrome (103242666242301).

The spelling of 103120333221000 in words is "one hundred three trillion, one hundred twenty billion, three hundred thirty-three million, two hundred twenty-one thousand".