10220027125 has 64 divisors (see below), whose sum is σ = 16018329600. Its totient is φ = 6324264000.

The previous prime is 10220027123. The next prime is 10220027137. The reversal of 10220027125 is 52172002201.

10220027125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220027125 - 2¹ = 10220027123 is a prime.

It is a super-3 number, since 3×10220027125³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220027096 and 10220027105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220027123) 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 63 ways as a sum of consecutive naturals, for example, 1334056 + ... + 1341694.

It is an arithmetic number, because the mean of its divisors is an integer number (250286400).

Almost surely, 2^10220027125 is an apocalyptic number.

It is an amenable number.

10220027125 is a deficient number, since it is larger than the sum of its proper divisors (5798302475).

10220027125 is a wasteful number, since it uses less digits than its factorization.

10220027125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7811 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 10220027125 its reverse (52172002201), we get a palindrome (62392029326).

The spelling of 10220027125 in words is "ten billion, two hundred twenty million, twenty-seven thousand, one hundred twenty-five".