10121072 has 60 divisors (see below), whose sum is σ = 22465080. Its totient is φ = 4402944.

The previous prime is 10121063. The next prime is 10121093. The reversal of 10121072 is 27012101.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51278 + ... + 51474.

It is an arithmetic number, because the mean of its divisors is an integer number (374418).

Almost surely, 2^10121072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232540).

10121072 is an abundant number, since it is smaller than the sum of its proper divisors (12344008).

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

10121072 is a wasteful number, since it uses less digits than its factorization.

10121072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 10121072 is about 3181.3632298120. The cubic root of 10121072 is about 216.3094558470.

Adding to 10121072 its reverse (27012101), we get a palindrome (37133173).

The spelling of 10121072 in words is "ten million, one hundred twenty-one thousand, seventy-two".