230101103200 has 144 divisors (see below), whose sum is σ = 586541677680. Its totient is φ = 88035153920.

The previous prime is 230101103143. The next prime is 230101103203. The reversal of 230101103200 is 2301101032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230101103203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436054 + ... + 2528746.

It is an arithmetic number, because the mean of its divisors is an integer number (4073206095).

Almost surely, 2^230101103200 is an apocalyptic number.

230101103200 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 230101103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293270838840).

230101103200 is an abundant number, since it is smaller than the sum of its proper divisors (356440574480).

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

230101103200 is a wasteful number, since it uses less digits than its factorization.

230101103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92849 (or 92836 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 230101103200 its reverse (2301101032), we get a palindrome (232402204232).

The spelling of 230101103200 in words is "two hundred thirty billion, one hundred one million, one hundred three thousand, two hundred".