10221011121121 has 8 divisors (see below), whose sum is σ = 10628818214400. Its totient is φ = 9816894590160.

The previous prime is 10221011121109. The next prime is 10221011121127. The reversal of 10221011121121 is 12112111012201.

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 10221011121121 - 2¹¹ = 10221011119073 is a prime.

It is a super-3 number, since 3×10221011121121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221011121095 and 10221011121104.

It is not an unprimeable number, because it can be changed into a prime (10221011121127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922634931 + ... + 922646008.

It is an arithmetic number, because the mean of its divisors is an integer number (1328602276800).

Almost surely, 2^{10221011121121} is an apocalyptic number.

It is an amenable number.

10221011121121 is a deficient number, since it is larger than the sum of its proper divisors (407807093279).

10221011121121 is a wasteful number, since it uses less digits than its factorization.

10221011121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845281159.

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

Adding to 10221011121121 its reverse (12112111012201), we get a palindrome (22333122133322).

The spelling of 10221011121121 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty-one".