102200128 has 28 divisors (see below), whose sum is σ = 203138532. Its totient is φ = 51015680.

The previous prime is 102200117. The next prime is 102200129. The reversal of 102200128 is 821002201.

It can be written as a sum of positive squares in 2 ways, for example, as 84492864 + 17707264 = 9192^2 + 4208^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59376 + ... + 61072.

Almost surely, 2^102200128 is an apocalyptic number.

It is an amenable number.

102200128 is a deficient number, since it is larger than the sum of its proper divisors (100938404).

102200128 is an equidigital number, since it uses as much as digits as its factorization.

102200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 102200128 is about 10109.4078956188. The cubic root of 102200128 is about 467.5382496086.

Adding to 102200128 its reverse (821002201), we get a palindrome (923202329).

The spelling of 102200128 in words is "one hundred two million, two hundred thousand, one hundred twenty-eight".