10200120 has 64 divisors (see below), whose sum is σ = 34974720. Its totient is φ = 2331264.

The previous prime is 10200107. The next prime is 10200139. The reversal of 10200120 is 2100201.

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 junction number, because it is equal to n+sod(n) for n = 10200099 and 10200108.

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 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 6911.

It is an arithmetic number, because the mean of its divisors is an integer number (546480).

Almost surely, 2^10200120 is an apocalyptic number.

10200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200120 is an abundant number, since it is smaller than the sum of its proper divisors (24774600).

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

10200120 is a wasteful number, since it uses less digits than its factorization.

10200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12160 counting only the distinct ones).

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

The square root of 10200120 is about 3193.7626712077. The cubic root of 10200120 is about 216.8711389934.

Adding to 10200120 its reverse (2100201), we get a palindrome (12300321).

The spelling of 10200120 in words is "ten million, two hundred thousand, one hundred twenty".