4002101 has 2 divisors, whose sum is σ = 4002102. Its totient is φ = 4002100.

The previous prime is 4002077. The next prime is 4002109. The reversal of 4002101 is 1012004.

4002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (4002109) can be obtained adding 4002101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2044900 + 1957201 = 1430^2 + 1399^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002101 - 2¹⁴ = 3985717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001050 + 2001051.

It is an arithmetic number, because the mean of its divisors is an integer number (2001051).

Almost surely, 2^4002101 is an apocalyptic number.

It is an amenable number.

4002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002101 is an equidigital number, since it uses as much as digits as its factorization.

4002101 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 8.

The square root of 4002101 is about 2000.5251810462. The cubic root of 4002101 is about 158.7678930789.

Adding to 4002101 its reverse (1012004), we get a palindrome (5014105).

The spelling of 4002101 in words is "four million, two thousand, one hundred one".