10021110121121 has 8 divisors (see below), whose sum is σ = 10932144600288. Its totient is φ = 9110079720000.

The previous prime is 10021110121109. The next prime is 10021110121153. The reversal of 10021110121121 is 12112101112001.

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 10021110121121 - 2¹⁰ = 10021110120097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021110121096 and 10021110121105.

It is not an unprimeable number, because it can be changed into a prime (10021110121181) 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, 6584306 + ... + 7962116.

It is an arithmetic number, because the mean of its divisors is an integer number (1366518075036).

Almost surely, 2^{10021110121121} is an apocalyptic number.

10021110121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021110121121 is a deficient number, since it is larger than the sum of its proper divisors (911034479167).

10021110121121 is a wasteful number, since it uses less digits than its factorization.

10021110121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039023.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10021110121121 its reverse (12112101112001), we get a palindrome (22133211233122).

The spelling of 10021110121121 in words is "ten trillion, twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-one".