201101100022001 has 2 divisors, whose sum is σ = 201101100022002. Its totient is φ = 201101100022000.

The previous prime is 201101100021923. The next prime is 201101100022007. The reversal of 201101100022001 is 100220001101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119505125785600 + 81595974236401 = 10931840^2 + 9033049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201101100022001 is a prime.

It is not a weakly prime, because it can be changed into another prime (201101100022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550550011000 + 100550550011001.

It is an arithmetic number, because the mean of its divisors is an integer number (100550550011001).

Almost surely, 2^{201101100022001} is an apocalyptic number.

It is an amenable number.

201101100022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101100022001 is an equidigital number, since it uses as much as digits as its factorization.

201101100022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201101100022001 its reverse (100220001101102), we get a palindrome (301321101123103).

The spelling of 201101100022001 in words is "two hundred one trillion, one hundred one billion, one hundred million, twenty-two thousand, one".