10201200 has 60 divisors (see below), whose sum is σ = 32681688. Its totient is φ = 2720000.

The previous prime is 10201193. The next prime is 10201211. The reversal of 10201200 is 210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3051 + ... + 5450.

Almost surely, 2^10201200 is an apocalyptic number.

10201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201200 is an abundant number, since it is smaller than the sum of its proper divisors (22480488).

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

10201200 is a wasteful number, since it uses less digits than its factorization.

10201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8511 counting only the distinct ones).

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

The square root of 10201200 is about 3193.9317462964. The cubic root of 10201200 is about 216.8787929087.

Adding to 10201200 its reverse (210201), we get a palindrome (10411401).

Subtracting from 10201200 its reverse (210201), we obtain a palindrome (9990999).

It can be divided in two parts, 10201 and 200, that added together give a palindrome (10401).

The spelling of 10201200 in words is "ten million, two hundred one thousand, two hundred".