10021011311221 has 16 divisors (see below), whose sum is σ = 10594949826240. Its totient is φ = 9451734065280.

The previous prime is 10021011311173. The next prime is 10021011311291. The reversal of 10021011311221 is 12211311012001.

It is a happy number.

10021011311221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10021011311221 - 2¹¹ = 10021011309173 is a prime.

It is a super-3 number, since 3×10021011311221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021011311195 and 10021011311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021011311291) 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, 38842311 + ... + 39099451.

It is an arithmetic number, because the mean of its divisors is an integer number (662184364140).

Almost surely, 2^{10021011311221} is an apocalyptic number.

It is an amenable number.

10021011311221 is a deficient number, since it is larger than the sum of its proper divisors (573938515019).

10021011311221 is a wasteful number, since it uses less digits than its factorization.

10021011311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266196.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10021011311221 its reverse (12211311012001), we get a palindrome (22232322323222).

The spelling of 10021011311221 in words is "ten trillion, twenty-one billion, eleven million, three hundred eleven thousand, two hundred twenty-one".