221201100202001 has 2 divisors, whose sum is σ = 221201100202002. Its totient is φ = 221201100202000.

The previous prime is 221201100201827. The next prime is 221201100202003. The reversal of 221201100202001 is 100202001102122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206825241216400 + 14375858985601 = 14381420^2 + 3791551^2 .

It is a cyclic number.

It is not a de Polignac number, because 221201100202001 - 2¹⁸ = 221201099939857 is a prime.

Together with 221201100202003, 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 (221201100202003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600550101000 + 110600550101001.

It is an arithmetic number, because the mean of its divisors is an integer number (110600550101001).

Almost surely, 2^{221201100202001} is an apocalyptic number.

It is an amenable number.

221201100202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221201100202001 is an equidigital number, since it uses as much as digits as its factorization.

221201100202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221201100202001 its reverse (100202001102122), we get a palindrome (321403101304123).

The spelling of 221201100202001 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred million, two hundred two thousand, one".