4022001121001 has 2 divisors, whose sum is σ = 4022001121002. Its totient is φ = 4022001121000.

The previous prime is 4022001120979. The next prime is 4022001121003. The reversal of 4022001121001 is 1001211002204.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2575511425600 + 1446489695401 = 1604840^2 + 1202701^2 .

It is a cyclic number.

It is not a de Polignac number, because 4022001121001 - 2³⁰ = 4020927379177 is a prime.

Together with 4022001121003, 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 (4022001121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011000560500 + 2011000560501.

It is an arithmetic number, because the mean of its divisors is an integer number (2011000560501).

Almost surely, 2^{4022001121001} is an apocalyptic number.

It is an amenable number.

4022001121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4022001121001 is an equidigital number, since it uses as much as digits as its factorization.

4022001121001 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 14.

Adding to 4022001121001 its reverse (1001211002204), we get a palindrome (5023212123205).

The spelling of 4022001121001 in words is "four trillion, twenty-two billion, one million, one hundred twenty-one thousand, one".