102032203021200 has 180 divisors, whose sum is σ = 354848162136468. Its totient is φ = 27149566233600.

The previous prime is 102032203021183. The next prime is 102032203021207. The reversal of 102032203021200 is 2120302230201.

102032203021200 is a `hidden beast` number, since 1 + 0 + 20 + 3 + 220 + 302 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28627336604304 + 73404866416896 = 5350452^2 + 8567664^2 .

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 not an unprimeable number, because it can be changed into a prime (102032203021207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29080399 + ... + 32399598.

Almost surely, 2^{102032203021200} is an apocalyptic number.

102032203021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032203021200 is an abundant number, since it is smaller than the sum of its proper divisors (252815959115268).

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

102032203021200 is a wasteful number, since it uses less digits than its factorization.

102032203021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61480482 (or 61480468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102032203021200 its reverse (2120302230201), we get a palindrome (104152505251401).

The spelling of 102032203021200 in words is "one hundred two trillion, thirty-two billion, two hundred three million, twenty-one thousand, two hundred".