102013301200 has 120 divisors (see below), whose sum is σ = 251529464576. Its totient is φ = 39745728000.

The previous prime is 102013301141. The next prime is 102013301231. The reversal of 102013301200 is 2103310201.

102013301200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2492905 + ... + 2533495.

Almost surely, 2^102013301200 is an apocalyptic number.

102013301200 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 102013301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125764732288).

102013301200 is an abundant number, since it is smaller than the sum of its proper divisors (149516163376).

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

102013301200 is a wasteful number, since it uses less digits than its factorization.

102013301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40773 (or 40762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102013301200 its reverse (2103310201), we get a palindrome (104116611401).

Subtracting from 102013301200 its reverse (2103310201), we obtain a palindrome (99909990999).

The spelling of 102013301200 in words is "one hundred two billion, thirteen million, three hundred one thousand, two hundred".