103323212100000 has 432 divisors, whose sum is σ = 370894770824760. Its totient is φ = 27280032000000.

The previous prime is 103323212099963. The next prime is 103323212100001. The reversal of 103323212100000 is 1212323301.

103323212100000 is a `hidden beast` number, since 1 + 0 + 332 + 321 + 2 + 10 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 37322471260944 + 66000740839056 = 6109212^2 + 8124084^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103323212100001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90331666 + ... + 91468334.

Almost surely, 2^{103323212100000} is an apocalyptic number.

103323212100000 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 103323212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185447385412380).

103323212100000 is an abundant number, since it is smaller than the sum of its proper divisors (267571558724760).

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

103323212100000 is a wasteful number, since it uses less digits than its factorization.

103323212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136811 (or 1136780 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103323212100000 its reverse (1212323301), we get a palindrome (103324424423301).

The spelling of 103323212100000 in words is "one hundred three trillion, three hundred twenty-three billion, two hundred twelve million, one hundred thousand".