102233113200 has 180 divisors, whose sum is σ = 367917550728. Its totient is φ = 27262137600.

The previous prime is 102233113193. The next prime is 102233113201. The reversal of 102233113200 is 2311332201.

102233113200 is a `hidden beast` number, since 10 + 2 + 2 + 331 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 428691 + ... + 623090.

Almost surely, 2^102233113200 is an apocalyptic number.

102233113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233113200 is an abundant number, since it is smaller than the sum of its proper divisors (265684437528).

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

102233113200 is a wasteful number, since it uses less digits than its factorization.

102233113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051814 (or 1051791 counting only the distinct ones).

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

Adding to 102233113200 its reverse (2311332201), we get a palindrome (104544445401).

The spelling of 102233113200 in words is "one hundred two billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred".