10102200 has 96 divisors (see below), whose sum is σ = 31806000. Its totient is φ = 2652160.

The previous prime is 10102177. The next prime is 10102201. The reversal of 10102200 is 220101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67726 + ... + 67874.

Almost surely, 2^10102200 is an apocalyptic number.

10102200 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 10102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903000).

10102200 is an abundant number, since it is smaller than the sum of its proper divisors (21703800).

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

10102200 is a wasteful number, since it uses less digits than its factorization.

10102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10102200 is about 3178.3958217944. The cubic root of 10102200 is about 216.1749268849.

Adding to 10102200 its reverse (220101), we get a palindrome (10322301).

The spelling of 10102200 in words is "ten million, one hundred two thousand, two hundred".