102332010103200 has 108 divisors (see below), whose sum is σ = 360848250651798. Its totient is φ = 27288536025600.

The previous prime is 102332010103171. The next prime is 102332010103217. The reversal of 102332010103200 is 2301010233201.

102332010103200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 320 + 10 + 10 + 320 + 0 = 666.

102332010103200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 49399924706064 + 52932085397136 = 7028508^2 + 7275444^2 .

It is a super-2 number, since 2×102332010103200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7106382391 + ... + 7106396790.

Almost surely, 2^{102332010103200} is an apocalyptic number.

102332010103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102332010103200 is an abundant number, since it is smaller than the sum of its proper divisors (258516240548598).

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

102332010103200 is a wasteful number, since it uses less digits than its factorization.

102332010103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212779207 (or 14212779191 counting only the distinct ones).

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

Adding to 102332010103200 its reverse (2301010233201), we get a palindrome (104633020336401).

The spelling of 102332010103200 in words is "one hundred two trillion, three hundred thirty-two billion, ten million, one hundred three thousand, two hundred".