221202112201001 has 2 divisors, whose sum is σ = 221202112201002. Its totient is φ = 221202112201000.

The previous prime is 221202112200991. The next prime is 221202112201003. The reversal of 221202112201001 is 100102211202122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220154967264400 + 1047144936601 = 14837620^2 + 1023301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221202112201001 is a prime.

Together with 221202112201003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221202112201003) 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, 110601056100500 + 110601056100501.

It is an arithmetic number, because the mean of its divisors is an integer number (110601056100501).

Almost surely, 2^{221202112201001} is an apocalyptic number.

It is an amenable number.

221202112201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221202112201001 is an equidigital number, since it uses as much as digits as its factorization.

221202112201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221202112201001 its reverse (100102211202122), we get a palindrome (321304323403123).

The spelling of 221202112201001 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twelve million, two hundred one thousand, one".