4002114301 has 2 divisors, whose sum is σ = 4002114302. Its totient is φ = 4002114300.

The previous prime is 4002114299. The next prime is 4002114329. The reversal of 4002114301 is 1034112004.

4002114301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3507719076 + 494395225 = 59226^2 + 22235^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002114301 - 2¹ = 4002114299 is a prime.

Together with 4002114299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4002111301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001057150 + 2001057151.

It is an arithmetic number, because the mean of its divisors is an integer number (2001057151).

Almost surely, 2^4002114301 is an apocalyptic number.

It is an amenable number.

4002114301 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002114301 is an equidigital number, since it uses as much as digits as its factorization.

4002114301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4002114301 is about 63262.2660122130. The cubic root of 4002114301 is about 1587.6806896734.

Adding to 4002114301 its reverse (1034112004), we get a palindrome (5036226305).

The spelling of 4002114301 in words is "four billion, two million, one hundred fourteen thousand, three hundred one".