221001201121081 has 2 divisors, whose sum is σ = 221001201121082. Its totient is φ = 221001201121080.

The previous prime is 221001201121037. The next prime is 221001201121177. The reversal of 221001201121081 is 180121102100122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149574954647056 + 71426246474025 = 12230084^2 + 8451405^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001201121081 - 2²⁹ = 221000664250169 is a prime.

It is a super-2 number, since 2×221001201121081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221001207121081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500600560540 + 110500600560541.

It is an arithmetic number, because the mean of its divisors is an integer number (110500600560541).

Almost surely, 2^{221001201121081} is an apocalyptic number.

It is an amenable number.

221001201121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001201121081 is an equidigital number, since it uses as much as digits as its factorization.

221001201121081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 221001201121081 in words is "two hundred twenty-one trillion, one billion, two hundred one million, one hundred twenty-one thousand, eighty-one".