10002120 has 64 divisors (see below), whose sum is σ = 31777920. Its totient is φ = 2509824.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002120 is 2120001.

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 = 10002099 and 10002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121) 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 15 ways as a sum of consecutive naturals, for example, 412 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (496530).

Almost surely, 2^10002120 is an apocalyptic number.

10002120 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 10002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888960).

10002120 is an abundant number, since it is smaller than the sum of its proper divisors (21775800).

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

10002120 is a wasteful number, since it uses less digits than its factorization.

10002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4930 counting only the distinct ones).

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

The square root of 10002120 is about 3162.6128438366. The cubic root of 10002120 is about 215.4586925992.

Adding to 10002120 its reverse (2120001), we get a palindrome (12122121).

The spelling of 10002120 in words is "ten million, two thousand, one hundred twenty".