103210312214200 has 96 divisors (see below), whose sum is σ = 244511878653360. Its totient is φ = 40501819238400.

The previous prime is 103210312214131. The next prime is 103210312214201. The reversal of 103210312214200 is 2412213012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210312214201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129356887 + ... + 130152313.

Almost surely, 2^{103210312214200} is an apocalyptic number.

103210312214200 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 103210312214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122255939326680).

103210312214200 is an abundant number, since it is smaller than the sum of its proper divisors (141301566439160).

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

103210312214200 is a wasteful number, since it uses less digits than its factorization.

103210312214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807737 (or 807728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103210312214200 its reverse (2412213012301), we get a palindrome (105622525226501).

The spelling of 103210312214200 in words is "one hundred three trillion, two hundred ten billion, three hundred twelve million, two hundred fourteen thousand, two hundred".