221411634520001 has 2 divisors, whose sum is σ = 221411634520002. Its totient is φ = 221411634520000.

The previous prime is 221411634519967. The next prime is 221411634520003. The reversal of 221411634520001 is 100025436114122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125888377560001 + 95523256960000 = 11219999^2 + 9773600^2 .

It is a cyclic number.

It is not a de Polignac number, because 221411634520001 - 2⁶ = 221411634519937 is a prime.

It is a super-2 number, since 2×221411634520001² (a number of 29 digits) contains 22 as substring.

Together with 221411634520003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221411634520001.

It is not a weakly prime, because it can be changed into another prime (221411634520003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110705817260000 + 110705817260001.

It is an arithmetic number, because the mean of its divisors is an integer number (110705817260001).

Almost surely, 2^{221411634520001} is an apocalyptic number.

It is an amenable number.

221411634520001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221411634520001 is an equidigital number, since it uses as much as digits as its factorization.

221411634520001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 221411634520001 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred thirty-four million, five hundred twenty thousand, one".