230221112100 has 144 divisors (see below), whose sum is σ = 761469262848. Its totient is φ = 52607813760.

The previous prime is 230221112081. The next prime is 230221112111. The reversal of 230221112100 is 1211122032.

230221112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 230221112100.

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, 9149737 + ... + 9174863.

It is an arithmetic number, because the mean of its divisors is an integer number (5287980992).

Almost surely, 2^230221112100 is an apocalyptic number.

230221112100 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 230221112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380734631424).

230221112100 is an abundant number, since it is smaller than the sum of its proper divisors (531248150748).

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

230221112100 is a wasteful number, since it uses less digits than its factorization.

230221112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29514 (or 29507 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 230221112100 its reverse (1211122032), we get a palindrome (231432234132).

The spelling of 230221112100 in words is "two hundred thirty billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".