10302027120 has 600 divisors, whose sum is σ = 44971309152. Its totient is φ = 2139540480.

The previous prime is 10302027059. The next prime is 10302027157. The reversal of 10302027120 is 2172020301.

It is a super-2 number, since 2×10302027120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10302027093 and 10302027102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5487622 + ... + 5489498.

Almost surely, 2^10302027120 is an apocalyptic number.

10302027120 is a gapful number since it is divisible by the number (10) 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 10302027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22485654576).

10302027120 is an abundant number, since it is smaller than the sum of its proper divisors (34669282032).

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

10302027120 is a wasteful number, since it uses less digits than its factorization.

10302027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10302027120 its reverse (2172020301), we get a palindrome (12474047421).

The spelling of 10302027120 in words is "ten billion, three hundred two million, twenty-seven thousand, one hundred twenty".