221052434140081 has 2 divisors, whose sum is σ = 221052434140082. Its totient is φ = 221052434140080.

The previous prime is 221052434140019. The next prime is 221052434140091. The reversal of 221052434140081 is 180041434250122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212327446531600 + 8724987608481 = 14571460^2 + 2953809^2 .

It is a cyclic number.

It is not a de Polignac number, because 221052434140081 - 2¹¹ = 221052434138033 is a prime.

It is a super-2 number, since 2×221052434140081² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221052434140081.

It is not a weakly prime, because it can be changed into another prime (221052434140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110526217070040 + 110526217070041.

It is an arithmetic number, because the mean of its divisors is an integer number (110526217070041).

Almost surely, 2^{221052434140081} is an apocalyptic number.

It is an amenable number.

221052434140081 is a deficient number, since it is larger than the sum of its proper divisors (1).

221052434140081 is an equidigital number, since it uses as much as digits as its factorization.

221052434140081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 221052434140081 in words is "two hundred twenty-one trillion, fifty-two billion, four hundred thirty-four million, one hundred forty thousand, eighty-one".