101028200 has 216 divisors, whose sum is σ = 300725730. Its totient is φ = 31449600.

The previous prime is 101028173. The next prime is 101028203. The reversal of 101028200 is 2820101.

It can be written as a sum of positive squares in 9 ways, for example, as 18472804 + 82555396 = 4298^2 + 9086^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101028203) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1656170 + ... + 1656230.

Almost surely, 2^101028200 is an apocalyptic number.

101028200 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 101028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150362865).

101028200 is an abundant number, since it is smaller than the sum of its proper divisors (199697530).

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

101028200 is a wasteful number, since it uses less digits than its factorization.

101028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101028200 is about 10051.2785256404. The cubic root of 101028200 is about 465.7442892119.

Adding to 101028200 its reverse (2820101), we get a palindrome (103848301).

The spelling of 101028200 in words is "one hundred one million, twenty-eight thousand, two hundred".