225101100 has 108 divisors (see below), whose sum is σ = 757675464. Its totient is φ = 51448320.

The previous prime is 225101077. The next prime is 225101141. The reversal of 225101100 is 1101522.

225101100 is digitally balanced in base 2, 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7044 + ... + 22356.

Almost surely, 2^225101100 is an apocalyptic number.

225101100 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 225101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378837732).

225101100 is an abundant number, since it is smaller than the sum of its proper divisors (532574364).

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

225101100 is a wasteful number, since it uses less digits than its factorization.

225101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 225101100 is about 15003.3696215217. The cubic root of 225101100 is about 608.3112837862.

Adding to 225101100 its reverse (1101522), we get a palindrome (226202622).

The spelling of 225101100 in words is "two hundred twenty-five million, one hundred one thousand, one hundred".