10042123003121 has 8 divisors (see below), whose sum is σ = 10955074903488. Its totient is φ = 9129176374000.

The previous prime is 10042123003117. The next prime is 10042123003151. The reversal of 10042123003121 is 12130032124001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042123003121 - 2² = 10042123003117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10042123003093 and 10042123003102.

It is not an unprimeable number, because it can be changed into a prime (10042123003151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3399851 + ... + 5625231.

It is an arithmetic number, because the mean of its divisors is an integer number (1369384362936).

Almost surely, 2^{10042123003121} is an apocalyptic number.

10042123003121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042123003121 is a deficient number, since it is larger than the sum of its proper divisors (912951900367).

10042123003121 is a wasteful number, since it uses less digits than its factorization.

10042123003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635623.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10042123003121 its reverse (12130032124001), we get a palindrome (22172155127122).

The spelling of 10042123003121 in words is "ten trillion, forty-two billion, one hundred twenty-three million, three thousand, one hundred twenty-one".