103312301012200 has 192 divisors, whose sum is σ = 274968557136000. Its totient is φ = 35362949207040.

The previous prime is 103312301012171. The next prime is 103312301012201. The reversal of 103312301012200 is 2210103213301.

It is a super-2 number, since 2×103312301012200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103312301012201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2508229206 + ... + 2508270394.

It is an arithmetic number, because the mean of its divisors is an integer number (1432127901750).

Almost surely, 2^{103312301012200} is an apocalyptic number.

103312301012200 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 103312301012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137484278568000).

103312301012200 is an abundant number, since it is smaller than the sum of its proper divisors (171656256123800).

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

103312301012200 is a wasteful number, since it uses less digits than its factorization.

103312301012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44124 (or 44115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103312301012200 its reverse (2210103213301), we get a palindrome (105522404225501).

The spelling of 103312301012200 in words is "one hundred three trillion, three hundred twelve billion, three hundred one million, twelve thousand, two hundred".