10021112221221 has 96 divisors (see below), whose sum is σ = 15172580966400. Its totient is φ = 6368823780480.

The previous prime is 10021112221163. The next prime is 10021112221243. The reversal of 10021112221221 is 12212221112001.

10021112221221 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 12 + 221 + 221 = 666.

It is not a de Polignac number, because 10021112221221 - 2¹³ = 10021112213029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021112221194 and 10021112221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021112221921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1175217060 + ... + 1175225586.

It is an arithmetic number, because the mean of its divisors is an integer number (158047718400).

Almost surely, 2^{10021112221221} is an apocalyptic number.

It is an amenable number.

10021112221221 is a deficient number, since it is larger than the sum of its proper divisors (5151468745179).

10021112221221 is a wasteful number, since it uses less digits than its factorization.

10021112221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10021112221221 its reverse (12212221112001), we get a palindrome (22233333333222).

The spelling of 10021112221221 in words is "ten trillion, twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".