10102313120 has 24 divisors (see below), whose sum is σ = 23866715124. Its totient is φ = 4040925184.

The previous prime is 10102313033. The next prime is 10102313141. The reversal of 10102313120 is 2131320101.

It can be written as a sum of positive squares in 2 ways, for example, as 10098642064 + 3671056 = 100492^2 + 1916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102313095 and 10102313104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31569569 + ... + 31569888.

Almost surely, 2^10102313120 is an apocalyptic number.

10102313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102313120 is an abundant number, since it is smaller than the sum of its proper divisors (13764402004).

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

10102313120 is an equidigital number, since it uses as much as digits as its factorization.

10102313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63139472 (or 63139464 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10102313120 its reverse (2131320101), we get a palindrome (12233633221).

The spelling of 10102313120 in words is "ten billion, one hundred two million, three hundred thirteen thousand, one hundred twenty".