100420521225 has 48 divisors (see below), whose sum is σ = 166802032320. Its totient is φ = 53308627200.

The previous prime is 100420521221. The next prime is 100420521307. The reversal of 100420521225 is 522125024001.

100420521225 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100420521225 - 2² = 100420521221 is a prime.

100420521225 is strictly pandigital in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 100420521195 and 100420521204.

It is not an unprimeable number, because it can be changed into a prime (100420521221) by changing a digit.

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, 19085095 + ... + 19090355.

It is an arithmetic number, because the mean of its divisors is an integer number (3475042340).

Almost surely, 2^100420521225 is an apocalyptic number.

100420521225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100420521225 is a deficient number, since it is larger than the sum of its proper divisors (66381511095).

100420521225 is a wasteful number, since it uses less digits than its factorization.

100420521225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 100420521225 its reverse (522125024001), we get a palindrome (622545545226).

The spelling of 100420521225 in words is "one hundred billion, four hundred twenty million, five hundred twenty-one thousand, two hundred twenty-five".