10121600 has 48 divisors (see below), whose sum is σ = 25011420. Its totient is φ = 4047360.

The previous prime is 10121561. The next prime is 10121603. The reversal of 10121600 is 612101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1619 + ... + 4781.

Almost surely, 2^10121600 is an apocalyptic number.

10121600 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 10121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505710).

10121600 is an abundant number, since it is smaller than the sum of its proper divisors (14889820).

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

10121600 is an equidigital number, since it uses as much as digits as its factorization.

10121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10121600 is about 3181.4462120237. The cubic root of 10121600 is about 216.3132172867.

Adding to 10121600 its reverse (612101), we get a palindrome (10733701).

The spelling of 10121600 in words is "ten million, one hundred twenty-one thousand, six hundred".