10302142120 has 128 divisors (see below), whose sum is σ = 25871335200. Its totient is φ = 3673686016.

The previous prime is 10302142117. The next prime is 10302142121. The reversal of 10302142120 is 2124120301.

It can be written as a sum of positive squares in 16 ways, for example, as 2629433284 + 7672708836 = 51278^2 + 87594^2 .

It is a super-2 number, since 2×10302142120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302142094 and 10302142103.

It is not an unprimeable number, because it can be changed into a prime (10302142121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040232 + ... + 1050088.

Almost surely, 2^10302142120 is an apocalyptic number.

10302142120 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 10302142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935667600).

10302142120 is an abundant number, since it is smaller than the sum of its proper divisors (15569193080).

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

10302142120 is a wasteful number, since it uses less digits than its factorization.

10302142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10302142120 its reverse (2124120301), we get a palindrome (12426262421).

The spelling of 10302142120 in words is "ten billion, three hundred two million, one hundred forty-two thousand, one hundred twenty".