103211000103200 has 288 divisors, whose sum is σ = 285475948369920. Its totient is φ = 36110137779200.

The previous prime is 103211000103181. The next prime is 103211000103229. The reversal of 103211000103200 is 2301000112301.

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, 22287629 + ... + 26517171.

It is an arithmetic number, because the mean of its divisors is an integer number (991235931840).

Almost surely, 2^{103211000103200} is an apocalyptic number.

103211000103200 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 103211000103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142737974184960).

103211000103200 is an abundant number, since it is smaller than the sum of its proper divisors (182264948266720).

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

103211000103200 is a wasteful number, since it uses less digits than its factorization.

103211000103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229680 (or 4229667 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103211000103200 its reverse (2301000112301), we get a palindrome (105512000215501).

The spelling of 103211000103200 in words is "one hundred three trillion, two hundred eleven billion, one hundred three thousand, two hundred".