23001002101200 has 240 divisors, whose sum is σ = 78032194102080. Its totient is φ = 5771453276160.

The previous prime is 23001002101159. The next prime is 23001002101201. The reversal of 23001002101200 is 210120010032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001002101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88753411 + ... + 89012189.

It is an arithmetic number, because the mean of its divisors is an integer number (325134142092).

Almost surely, 2^{23001002101200} is an apocalyptic number.

23001002101200 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 23001002101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39016097051040).

23001002101200 is an abundant number, since it is smaller than the sum of its proper divisors (55031192000880).

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

23001002101200 is a wasteful number, since it uses less digits than its factorization.

23001002101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263174 (or 263163 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 23001002101200 its reverse (210120010032), we get a palindrome (23211122111232).

The spelling of 23001002101200 in words is "twenty-three trillion, one billion, two million, one hundred one thousand, two hundred".