221120222241101 has 2 divisors, whose sum is σ = 221120222241102. Its totient is φ = 221120222241100.

The previous prime is 221120222241077. The next prime is 221120222241103. The reversal of 221120222241101 is 101142222021122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186051618725476 + 35068603515625 = 13640074^2 + 5921875^2 .

It is a cyclic number.

It is not a de Polignac number, because 221120222241101 - 2²² = 221120218046797 is a prime.

Together with 221120222241103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221120222241103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560111120550 + 110560111120551.

It is an arithmetic number, because the mean of its divisors is an integer number (110560111120551).

Almost surely, 2^{221120222241101} is an apocalyptic number.

It is an amenable number.

221120222241101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120222241101 is an equidigital number, since it uses as much as digits as its factorization.

221120222241101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 221120222241101 its reverse (101142222021122), we get a palindrome (322262444262223).

The spelling of 221120222241101 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred forty-one thousand, one hundred one".