23003012201100 has 144 divisors (see below), whose sum is σ = 66752280080640. Its totient is φ = 6115995244800.

The previous prime is 23003012201077. The next prime is 23003012201159. The reversal of 23003012201100 is 110221030032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23003012201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776825295 + ... + 776854905.

It is an arithmetic number, because the mean of its divisors is an integer number (463557500560).

Almost surely, 2^{23003012201100} is an apocalyptic number.

23003012201100 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 23003012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33376140040320).

23003012201100 is an abundant number, since it is smaller than the sum of its proper divisors (43749267879540).

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

23003012201100 is a wasteful number, since it uses less digits than its factorization.

23003012201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37200 (or 37193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23003012201100 its reverse (110221030032), we get a palindrome (23113233231132).

The spelling of 23003012201100 in words is "twenty-three trillion, three billion, twelve million, two hundred one thousand, one hundred".