10120121225 has 24 divisors (see below), whose sum is σ = 12866598360. Its totient is φ = 7891520000.

The previous prime is 10120121189. The next prime is 10120121227. The reversal of 10120121225 is 52212102101.

10120121225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10099446016 + 20675209 = 100496^2 + 4547^2 .

It is not a de Polignac number, because 10120121225 - 2⁶ = 10120121161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120121227) 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 23 ways as a sum of consecutive naturals, for example, 1329731 + ... + 1337319.

It is an arithmetic number, because the mean of its divisors is an integer number (536108265).

Almost surely, 2^10120121225 is an apocalyptic number.

It is an amenable number.

10120121225 is a deficient number, since it is larger than the sum of its proper divisors (2746477135).

10120121225 is a wasteful number, since it uses less digits than its factorization.

10120121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10120121225 its reverse (52212102101), we get a palindrome (62332223326).

The spelling of 10120121225 in words is "ten billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty-five".