225023705210100 has 144 divisors (see below), whose sum is σ = 651455842782528. Its totient is φ = 59970637224960.

The previous prime is 225023705210081. The next prime is 225023705210131. The reversal of 225023705210100 is 1012507320522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6321405502 + ... + 6321441098.

It is an arithmetic number, because the mean of its divisors is an integer number (4523998908212).

Almost surely, 2^{225023705210100} is an apocalyptic number.

225023705210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225023705210100 is an abundant number, since it is smaller than the sum of its proper divisors (426432137572428).

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

225023705210100 is a wasteful number, since it uses less digits than its factorization.

225023705210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47554 (or 47547 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 225023705210100 in words is "two hundred twenty-five trillion, twenty-three billion, seven hundred five million, two hundred ten thousand, one hundred".