10102012320 has 96 divisors (see below), whose sum is σ = 32681432448. Its totient is φ = 2621058048.

The previous prime is 10102012247. The next prime is 10102012343. The reversal of 10102012320 is 2321020101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102012296 and 10102012305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266644 + ... + 302163.

It is an arithmetic number, because the mean of its divisors is an integer number (340431588).

Almost surely, 2^10102012320 is an apocalyptic number.

10102012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102012320 is an abundant number, since it is smaller than the sum of its proper divisors (22579420128).

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

10102012320 is a wasteful number, since it uses less digits than its factorization.

10102012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568862 (or 568854 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102012320 its reverse (2321020101), we get a palindrome (12423032421).

The spelling of 10102012320 in words is "ten billion, one hundred two million, twelve thousand, three hundred twenty".