1022111601001 has 2 divisors, whose sum is σ = 1022111601002. Its totient is φ = 1022111601000.

The previous prime is 1022111600981. The next prime is 1022111601011. The reversal of 1022111601001 is 1001061112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 938333192976 + 83778408025 = 968676^2 + 289445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022111601001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022111601011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511055800500 + 511055800501.

It is an arithmetic number, because the mean of its divisors is an integer number (511055800501).

Almost surely, 2^{1022111601001} is an apocalyptic number.

It is an amenable number.

1022111601001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022111601001 is an equidigital number, since it uses as much as digits as its factorization.

1022111601001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1022111601001 its reverse (1001061112201), we get a palindrome (2023172713202).

The spelling of 1022111601001 in words is "one trillion, twenty-two billion, one hundred eleven million, six hundred one thousand, one".