12301133010100 has 144 divisors (see below), whose sum is σ = 29801668571136. Its totient is φ = 4368479472000.

The previous prime is 12301133010073. The next prime is 12301133010209. The reversal of 12301133010100 is 101033110321.

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, 429989997 + ... + 430018603.

It is an arithmetic number, because the mean of its divisors is an integer number (206956031744).

Almost surely, 2^{12301133010100} is an apocalyptic number.

12301133010100 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 12301133010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900834285568).

12301133010100 is an abundant number, since it is smaller than the sum of its proper divisors (17500535561036).

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

12301133010100 is a wasteful number, since it uses less digits than its factorization.

12301133010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37766 (or 37759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 12301133010100 its reverse (101033110321), we get a palindrome (12402166120421).

The spelling of 12301133010100 in words is "twelve trillion, three hundred one billion, one hundred thirty-three million, ten thousand, one hundred".