102033334200 has 192 divisors, whose sum is σ = 361636853760. Its totient is φ = 23312401920.

The previous prime is 102033334189. The next prime is 102033334217. The reversal of 102033334200 is 2433330201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 18867897 + ... + 18873303.

It is an arithmetic number, because the mean of its divisors is an integer number (1883525280).

Almost surely, 2^102033334200 is an apocalyptic number.

102033334200 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 102033334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180818426880).

102033334200 is an abundant number, since it is smaller than the sum of its proper divisors (259603519560).

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

102033334200 is a wasteful number, since it uses less digits than its factorization.

102033334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102033334200 its reverse (2433330201), we get a palindrome (104466664401).

The spelling of 102033334200 in words is "one hundred two billion, thirty-three million, three hundred thirty-four thousand, two hundred".