103210121200 has 180 divisors, whose sum is σ = 266988402720. Its totient is φ = 38209228800.

The previous prime is 103210121177. The next prime is 103210121207. The reversal of 103210121200 is 2121012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210121207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25300761 + ... + 25304839.

It is an arithmetic number, because the mean of its divisors is an integer number (1483268904).

Almost surely, 2^103210121200 is an apocalyptic number.

103210121200 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 103210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133494201360).

103210121200 is an abundant number, since it is smaller than the sum of its proper divisors (163778281520).

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

103210121200 is a wasteful number, since it uses less digits than its factorization.

103210121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 103210121200 its reverse (2121012301), we get a palindrome (105331133501).

The spelling of 103210121200 in words is "one hundred three billion, two hundred ten million, one hundred twenty-one thousand, two hundred".