2211201102001 has 2 divisors, whose sum is σ = 2211201102002. Its totient is φ = 2211201102000.

The previous prime is 2211201101999. The next prime is 2211201102029. The reversal of 2211201102001 is 1002011021122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2015108007025 + 196093094976 = 1419545^2 + 442824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211201102001 - 2¹ = 2211201101999 is a prime.

Together with 2211201101999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2211208102001) 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, 1105600551000 + 1105600551001.

It is an arithmetic number, because the mean of its divisors is an integer number (1105600551001).

Almost surely, 2^{2211201102001} is an apocalyptic number.

It is an amenable number.

2211201102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211201102001 is an equidigital number, since it uses as much as digits as its factorization.

2211201102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2211201102001 its reverse (1002011021122), we get a palindrome (3213212123123).

The spelling of 2211201102001 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred two thousand, one".