4002122401 has 2 divisors, whose sum is σ = 4002122402. Its totient is φ = 4002122400.

The previous prime is 4002122329. The next prime is 4002122407. The reversal of 4002122401 is 1042212004.

4002122401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3495647376 + 506475025 = 59124^2 + 22505^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002122401 - 2²⁷ = 3867904673 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002122407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001061200 + 2001061201.

It is an arithmetic number, because the mean of its divisors is an integer number (2001061201).

Almost surely, 2^4002122401 is an apocalyptic number.

It is an amenable number.

4002122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002122401 is an equidigital number, since it uses as much as digits as its factorization.

4002122401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4002122401 is about 63262.3300313860. The cubic root of 4002122401 is about 1587.6817607910.

Adding to 4002122401 its reverse (1042212004), we get a palindrome (5044334405).

The spelling of 4002122401 in words is "four billion, two million, one hundred twenty-two thousand, four hundred one".