102205251200 has 288 divisors, whose sum is σ = 289502380260. Its totient is φ = 35514286080.

The previous prime is 102205251121. The next prime is 102205251221. The reversal of 102205251200 is 2152502201.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 33448020544 + 68757230656 = 182888^2 + 262216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9188042 + ... + 9199158.

Almost surely, 2^102205251200 is an apocalyptic number.

102205251200 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 102205251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144751190130).

102205251200 is an abundant number, since it is smaller than the sum of its proper divisors (187297129060).

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

102205251200 is a wasteful number, since it uses less digits than its factorization.

102205251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 102205251200 its reverse (2152502201), we get a palindrome (104357753401).

The spelling of 102205251200 in words is "one hundred two billion, two hundred five million, two hundred fifty-one thousand, two hundred".