2303122322100 has 144 divisors (see below), whose sum is σ = 6756383188800. Its totient is φ = 605660267520.

The previous prime is 2303122322089. The next prime is 2303122322117. The reversal of 2303122322100 is 12232213032.

It is a happy number.

It is a super-3 number, since 3×2303122322100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10005502 + ... + 10233098.

It is an arithmetic number, because the mean of its divisors is an integer number (46919327700).

Almost surely, 2^{2303122322100} is an apocalyptic number.

2303122322100 is a gapful number since it is divisible by the number (20) 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 2303122322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378191594400).

2303122322100 is an abundant number, since it is smaller than the sum of its proper divisors (4453260866700).

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

2303122322100 is a wasteful number, since it uses less digits than its factorization.

2303122322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228082 (or 228075 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2303122322100 its reverse (12232213032), we get a palindrome (2315354535132).

The spelling of 2303122322100 in words is "two trillion, three hundred three billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred".