103330130220200 has 384 divisors, whose sum is σ = 274057659187200. Its totient is φ = 35945653201920.

The previous prime is 103330130220143. The next prime is 103330130220221. The reversal of 103330130220200 is 2022031033301.

It is a super-2 number, since 2×103330130220200² (a number of 29 digits) contains 22 as substring.

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

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, 1055600459 + ... + 1055698341.

It is an arithmetic number, because the mean of its divisors is an integer number (713691820800).

Almost surely, 2^{103330130220200} is an apocalyptic number.

103330130220200 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 103330130220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137028829593600).

103330130220200 is an abundant number, since it is smaller than the sum of its proper divisors (170727528967000).

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

103330130220200 is a wasteful number, since it uses less digits than its factorization.

103330130220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98201 (or 98192 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103330130220200 its reverse (2022031033301), we get a palindrome (105352161253501).

The spelling of 103330130220200 in words is "one hundred three trillion, three hundred thirty billion, one hundred thirty million, two hundred twenty thousand, two hundred".