103233132212100 has 576 divisors, whose sum is σ = 354083225223168. Its totient is φ = 22960852992000.

The previous prime is 103233132212071. The next prime is 103233132212101. The reversal of 103233132212100 is 1212231332301.

It is not an unprimeable number, because it can be changed into a prime (103233132212101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265683564 + ... + 266071836.

It is an arithmetic number, because the mean of its divisors is an integer number (614727821568).

Almost surely, 2^{103233132212100} is an apocalyptic number.

103233132212100 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 103233132212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177041612611584).

103233132212100 is an abundant number, since it is smaller than the sum of its proper divisors (250850093011068).

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

103233132212100 is a wasteful number, since it uses less digits than its factorization.

103233132212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388468 (or 388461 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103233132212100 its reverse (1212231332301), we get a palindrome (104445363544401).

The spelling of 103233132212100 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred thirty-two million, two hundred twelve thousand, one hundred".