10042121 has 4 divisors (see below), whose sum is σ = 10632852. Its totient is φ = 9451392.

The previous prime is 10042103. The next prime is 10042141. The reversal of 10042121 is 12124001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12124001 = 29 ⋅418069.

It can be written as a sum of positive squares in 2 ways, for example, as 5359225 + 4682896 = 2315^2 + 2164^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042121 - 2¹⁴ = 10025737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10042141) 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 3 ways as a sum of consecutive naturals, for example, 295340 + ... + 295373.

It is an arithmetic number, because the mean of its divisors is an integer number (2658213).

Almost surely, 2^10042121 is an apocalyptic number.

It is an amenable number.

10042121 is a deficient number, since it is larger than the sum of its proper divisors (590731).

10042121 is an equidigital number, since it uses as much as digits as its factorization.

10042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590730.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10042121 is about 3168.9305767088. The cubic root of 10042121 is about 215.7455351004.

Adding to 10042121 its reverse (12124001), we get a palindrome (22166122).

It can be divided in two parts, 1004 and 2121, that added together give a 5-th power (3125 = 5⁵).

The spelling of 10042121 in words is "ten million, forty-two thousand, one hundred twenty-one".