10120200 has 96 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 2656000.

The previous prime is 10120199. The next prime is 10120213. The reversal of 10120200 is 202101.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60517 + ... + 60683.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^10120200 is an apocalyptic number.

10120200 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 10120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

10120200 is an abundant number, since it is smaller than the sum of its proper divisors (21752760).

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

10120200 is a wasteful number, since it uses less digits than its factorization.

10120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

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

The square root of 10120200 is about 3181.2261786927. The cubic root of 10120200 is about 216.3032434859.

Adding to 10120200 its reverse (202101), we get a palindrome (10322301).

It can be divided in two parts, 101 and 20200, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 10120200 in words is "ten million, one hundred twenty thousand, two hundred".