10031121121 has 16 divisors (see below), whose sum is σ = 11553848320. Its totient is φ = 8530900560.

The previous prime is 10031121109. The next prime is 10031121127. The reversal of 10031121121 is 12112113001.

It is a happy number.

10031121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10031121121 - 2⁷ = 10031120993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10031121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2807266 + ... + 2810836.

It is an arithmetic number, because the mean of its divisors is an integer number (722115520).

Almost surely, 2^10031121121 is an apocalyptic number.

It is an amenable number.

10031121121 is a deficient number, since it is larger than the sum of its proper divisors (1522727199).

10031121121 is a wasteful number, since it uses less digits than its factorization.

10031121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10031121121 its reverse (12112113001), we get a palindrome (22143234122).

The spelling of 10031121121 in words is "ten billion, thirty-one million, one hundred twenty-one thousand, one hundred twenty-one".