4005125101 has 2 divisors, whose sum is σ = 4005125102. Its totient is φ = 4005125100.

The previous prime is 4005125099. The next prime is 4005125119. The reversal of 4005125101 is 1015215004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3263379876 + 741745225 = 57126^2 + 27235^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005125101 - 2¹ = 4005125099 is a prime.

Together with 4005125099, 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 (4005125141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002562550 + 2002562551.

It is an arithmetic number, because the mean of its divisors is an integer number (2002562551).

Almost surely, 2^4005125101 is an apocalyptic number.

It is an amenable number.

4005125101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005125101 is an equidigital number, since it uses as much as digits as its factorization.

4005125101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 4005125101 is about 63286.0577141601. The cubic root of 4005125101 is about 1588.0787285137.

The spelling of 4005125101 in words is "four billion, five million, one hundred twenty-five thousand, one hundred one".