102412320300 has 144 divisors (see below), whose sum is σ = 329344372000. Its totient is φ = 27301017600.

The previous prime is 102412320289. The next prime is 102412320319. The reversal of 102412320300 is 3023214201.

102412320300 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 2 + 320 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14708820 + ... + 14715780.

Almost surely, 2^102412320300 is an apocalyptic number.

102412320300 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 102412320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164672186000).

102412320300 is an abundant number, since it is smaller than the sum of its proper divisors (226932051700).

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

102412320300 is a wasteful number, since it uses less digits than its factorization.

102412320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102412320300 its reverse (3023214201), we get a palindrome (105435534501).

The spelling of 102412320300 in words is "one hundred two billion, four hundred twelve million, three hundred twenty thousand, three hundred".