103013211232200 has 192 divisors, whose sum is σ = 321599523456000. Its totient is φ = 27276466694400.

The previous prime is 103013211232193. The next prime is 103013211232249. The reversal of 103013211232200 is 2232112310301.

It is a super-2 number, since 2×103013211232200² (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 47 ways as a sum of consecutive naturals, for example, 57746829 + ... + 59503971.

It is an arithmetic number, because the mean of its divisors is an integer number (1674997518000).

Almost surely, 2^{103013211232200} is an apocalyptic number.

103013211232200 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 103013211232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160799761728000).

103013211232200 is an abundant number, since it is smaller than the sum of its proper divisors (218586312223800).

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

103013211232200 is a wasteful number, since it uses less digits than its factorization.

103013211232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757852 (or 1757843 counting only the distinct ones).

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

Adding to 103013211232200 its reverse (2232112310301), we get a palindrome (105245323542501).

The spelling of 103013211232200 in words is "one hundred three trillion, thirteen billion, two hundred eleven million, two hundred thirty-two thousand, two hundred".