221122021112001 has 6 divisors (see below), whose sum is σ = 319398474939570. Its totient is φ = 147414680741328.

The previous prime is 221122021111997. The next prime is 221122021112029. The reversal of 221122021112001 is 100211120221122.

221122021112001 is a `hidden beast` number, since 2 + 211 + 220 + 21 + 11 + 200 + 1 = 666.

221122021112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111501435211776 + 109620585900225 = 10559424^2 + 10469985^2 .

It is not a de Polignac number, because 221122021112001 - 2² = 221122021111997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221122021112701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12284556728436 + ... + 12284556728453.

It is an arithmetic number, because the mean of its divisors is an integer number (53233079156595).

Almost surely, 2^{221122021112001} is an apocalyptic number.

It is an amenable number.

221122021112001 is a deficient number, since it is larger than the sum of its proper divisors (98276453827569).

221122021112001 is a wasteful number, since it uses less digits than its factorization.

221122021112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24569113456895 (or 24569113456892 counting only the distinct ones).

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

Adding to 221122021112001 its reverse (100211120221122), we get a palindrome (321333141333123).

The spelling of 221122021112001 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred twelve thousand, one".