225142123100 has 144 divisors (see below), whose sum is σ = 525606859008. Its totient is φ = 83406044160.

The previous prime is 225142123069. The next prime is 225142123159. The reversal of 225142123100 is 1321241522.

It is a super-2 number, since 2×225142123100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37106267 + ... + 37112333.

It is an arithmetic number, because the mean of its divisors is an integer number (3650047632).

Almost surely, 2^225142123100 is an apocalyptic number.

225142123100 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 225142123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262803429504).

225142123100 is an abundant number, since it is smaller than the sum of its proper divisors (300464735908).

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

225142123100 is a wasteful number, since it uses less digits than its factorization.

225142123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 225142123100 its reverse (1321241522), we get a palindrome (226463364622).

The spelling of 225142123100 in words is "two hundred twenty-five billion, one hundred forty-two million, one hundred twenty-three thousand, one hundred".