102412314200 has 192 divisors, whose sum is σ = 287402438400. Its totient is φ = 33153753600.

The previous prime is 102412314197. The next prime is 102412314233. The reversal of 102412314200 is 2413214201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 8159930 + ... + 8172470.

It is an arithmetic number, because the mean of its divisors is an integer number (1496887700).

Almost surely, 2^102412314200 is an apocalyptic number.

102412314200 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 102412314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143701219200).

102412314200 is an abundant number, since it is smaller than the sum of its proper divisors (184990124200).

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

102412314200 is a wasteful number, since it uses less digits than its factorization.

102412314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102412314200 its reverse (2413214201), we get a palindrome (104825528401).

Subtracting from 102412314200 its reverse (2413214201), we obtain a palindrome (99999099999).

The spelling of 102412314200 in words is "one hundred two billion, four hundred twelve million, three hundred fourteen thousand, two hundred".