102230033011200 has 720 divisors, whose sum is σ = 388206804379680. Its totient is φ = 25602563112960.

The previous prime is 102230033011189. The next prime is 102230033011207. The reversal of 102230033011200 is 2110330032201.

102230033011200 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 300 + 330 + 11 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (102230033011207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 914516911 + ... + 914628689.

It is an arithmetic number, because the mean of its divisors is an integer number (539176117194).

Almost surely, 2^{102230033011200} is an apocalyptic number.

102230033011200 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 102230033011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194103402189840).

102230033011200 is an abundant number, since it is smaller than the sum of its proper divisors (285976771368480).

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

102230033011200 is a wasteful number, since it uses less digits than its factorization.

102230033011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112297 (or 112273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102230033011200 its reverse (2110330032201), we get a palindrome (104340363043401).

The spelling of 102230033011200 in words is "one hundred two trillion, two hundred thirty billion, thirty-three million, eleven thousand, two hundred".