221020211122001 has 16 divisors (see below), whose sum is σ = 224703303456528. Its totient is φ = 217339055289600.

The previous prime is 221020211121979. The next prime is 221020211122003. The reversal of 221020211122001 is 100221112020122.

It can be written as a sum of positive squares in 8 ways, for example, as 78096368956225 + 142923842165776 = 8837215^2 + 11955076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221020211122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221020211122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6358995515 + ... + 6359030271.

It is an arithmetic number, because the mean of its divisors is an integer number (14043956466033).

Almost surely, 2^{221020211122001} is an apocalyptic number.

It is an amenable number.

221020211122001 is a deficient number, since it is larger than the sum of its proper divisors (3683092334527).

221020211122001 is a wasteful number, since it uses less digits than its factorization.

221020211122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59572.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221020211122001 its reverse (100221112020122), we get a palindrome (321241323142123).

The spelling of 221020211122001 in words is "two hundred twenty-one trillion, twenty billion, two hundred eleven million, one hundred twenty-two thousand, one".