102112304200 has 384 divisors, whose sum is σ = 269018496000. Its totient is φ = 35864294400.

The previous prime is 102112304171. The next prime is 102112304221. The reversal of 102112304200 is 2403211201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570459711 + ... + 570459889.

It is an arithmetic number, because the mean of its divisors is an integer number (700569000).

Almost surely, 2^102112304200 is an apocalyptic number.

102112304200 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 102112304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134509248000).

102112304200 is an abundant number, since it is smaller than the sum of its proper divisors (166906191800).

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

102112304200 is a wasteful number, since it uses less digits than its factorization.

102112304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102112304200 its reverse (2403211201), we get a palindrome (104515515401).

The spelling of 102112304200 in words is "one hundred two billion, one hundred twelve million, three hundred four thousand, two hundred".