102024210312 has 80 divisors (see below), whose sum is σ = 302571832860. Its totient is φ = 32007591936.

The previous prime is 102024210289. The next prime is 102024210317. The reversal of 102024210312 is 213012420201.

It is a happy number.

102024210312 is a `hidden beast` number, since 10 + 202 + 421 + 0 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101930778756 + 93431556 = 319266^2 + 9666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102024210317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4619713 + ... + 4641744.

Almost surely, 2^102024210312 is an apocalyptic number.

102024210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102024210312 is an abundant number, since it is smaller than the sum of its proper divisors (200547622548).

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

102024210312 is a wasteful number, since it uses less digits than its factorization.

102024210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261492 (or 9261479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102024210312 its reverse (213012420201), we get a palindrome (315036630513).

The spelling of 102024210312 in words is "one hundred two billion, twenty-four million, two hundred ten thousand, three hundred twelve".