221221432235201 has 2 divisors, whose sum is σ = 221221432235202. Its totient is φ = 221221432235200.

The previous prime is 221221432235197. The next prime is 221221432235267. The reversal of 221221432235201 is 102532234122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167257936614976 + 53963495620225 = 12932824^2 + 7345985^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221432235201 - 2² = 221221432235197 is a prime.

It is a super-2 number, since 2×221221432235201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221221432235701) 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 as a sum of consecutive naturals, namely, 110610716117600 + 110610716117601.

It is an arithmetic number, because the mean of its divisors is an integer number (110610716117601).

Almost surely, 2^{221221432235201} is an apocalyptic number.

It is an amenable number.

221221432235201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221432235201 is an equidigital number, since it uses as much as digits as its factorization.

221221432235201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 221221432235201 its reverse (102532234122122), we get a palindrome (323753666357323).

The spelling of 221221432235201 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, four hundred thirty-two million, two hundred thirty-five thousand, two hundred one".