103300211331200 has 384 divisors, whose sum is σ = 284811192792000. Its totient is φ = 36758829219840.

The previous prime is 103300211331193. The next prime is 103300211331253. The reversal of 103300211331200 is 2133112003301.

It is a super-2 number, since 2×103300211331200² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659822531 + ... + 659979069.

Almost surely, 2^{103300211331200} is an apocalyptic number.

103300211331200 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 103300211331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142405596396000).

103300211331200 is an abundant number, since it is smaller than the sum of its proper divisors (181510981460800).

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

103300211331200 is a wasteful number, since it uses less digits than its factorization.

103300211331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157152 (or 157135 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103300211331200 its reverse (2133112003301), we get a palindrome (105433323334501).

The spelling of 103300211331200 in words is "one hundred three trillion, three hundred billion, two hundred eleven million, three hundred thirty-one thousand, two hundred".