23101100144400 has 240 divisors, whose sum is σ = 74314540047168. Its totient is φ = 6134169600000.

The previous prime is 23101100144387. The next prime is 23101100144401. The reversal of 23101100144400 is 444100110132.

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

It is not an unprimeable number, because it can be changed into a prime (23101100144401) by changing a digit.

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, 1002596880 + ... + 1002619920.

Almost surely, 2^{23101100144400} is an apocalyptic number.

23101100144400 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 23101100144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37157270023584).

23101100144400 is an abundant number, since it is smaller than the sum of its proper divisors (51213439902768).

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

23101100144400 is a wasteful number, since it uses less digits than its factorization.

23101100144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26570 (or 26559 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 23101100144400 its reverse (444100110132), we get a palindrome (23545200254532).

The spelling of 23101100144400 in words is "twenty-three trillion, one hundred one billion, one hundred million, one hundred forty-four thousand, four hundred".