2022011101001 has 2 divisors, whose sum is σ = 2022011101002. Its totient is φ = 2022011101000.

The previous prime is 2022011100953. The next prime is 2022011101003. The reversal of 2022011101001 is 1001011102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1195357368976 + 826653732025 = 1093324^2 + 909205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022011101001 - 2¹⁴ = 2022011084617 is a prime.

Together with 2022011101003, 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 (2022011101003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011005550500 + 1011005550501.

It is an arithmetic number, because the mean of its divisors is an integer number (1011005550501).

Almost surely, 2^{2022011101001} is an apocalyptic number.

It is an amenable number.

2022011101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022011101001 is an equidigital number, since it uses as much as digits as its factorization.

2022011101001 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 2022011101001 its reverse (1001011102202), we get a palindrome (3023022203203).

The spelling of 2022011101001 in words is "two trillion, twenty-two billion, eleven million, one hundred one thousand, one".