10221121121021 has 16 divisors (see below), whose sum is σ = 10706067054000. Its totient is φ = 9745773800448.

The previous prime is 10221121120961. The next prime is 10221121121083. The reversal of 10221121121021 is 12012112112201.

It can be written as a sum of positive squares in 8 ways, for example, as 5036740900 + 10216084380121 = 70970^2 + 3196261^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221121121021 - 2³⁰ = 10220047379197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221127121021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6089036 + ... + 7584101.

It is an arithmetic number, because the mean of its divisors is an integer number (669129190875).

Almost surely, 2^{10221121121021} is an apocalyptic number.

It is an amenable number.

10221121121021 is a deficient number, since it is larger than the sum of its proper divisors (484945932979).

10221121121021 is a wasteful number, since it uses less digits than its factorization.

10221121121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13673488.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221121121021 its reverse (12012112112201), we get a palindrome (22233233233222).

The spelling of 10221121121021 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-one".