4022002000001 has 2 divisors, whose sum is σ = 4022002000002. Its totient is φ = 4022002000000.

The previous prime is 4022001999971. The next prime is 4022002000013. The reversal of 4022002000001 is 1000002002204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2018036171776 + 2003965828225 = 1420576^2 + 1415615^2 .

It is a cyclic number.

It is not a de Polignac number, because 4022002000001 - 2³⁸ = 3747124093057 is a prime.

It is not a weakly prime, because it can be changed into another prime (4022002000801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011001000000 + 2011001000001.

It is an arithmetic number, because the mean of its divisors is an integer number (2011001000001).

Almost surely, 2^{4022002000001} is an apocalyptic number.

It is an amenable number.

4022002000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4022002000001 is an equidigital number, since it uses as much as digits as its factorization.

4022002000001 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 11.

Adding to 4022002000001 its reverse (1000002002204), we get a palindrome (5022004002205).

The spelling of 4022002000001 in words is "four trillion, twenty-two billion, two million, one", and thus it is an aban number.