10021211001221 has 72 divisors (see below), whose sum is σ = 12716881022880. Its totient is φ = 7868409595200.

The previous prime is 10021211001079. The next prime is 10021211001271. The reversal of 10021211001221 is 12210011212001.

10021211001221 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 10021211001221 - 2¹⁰ = 10021211000197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021211001196 and 10021211001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021211001271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63584006 + ... + 63741416.

It is an arithmetic number, because the mean of its divisors is an integer number (176623347540).

Almost surely, 2^{10021211001221} is an apocalyptic number.

It is an amenable number.

10021211001221 is a deficient number, since it is larger than the sum of its proper divisors (2695670021659).

10021211001221 is a wasteful number, since it uses less digits than its factorization.

10021211001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157583 (or 157557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10021211001221 its reverse (12210011212001), we get a palindrome (22231222213222).

The spelling of 10021211001221 in words is "ten trillion, twenty-one billion, two hundred eleven million, one thousand, two hundred twenty-one".