2101567001 has 2 divisors, whose sum is σ = 2101567002. Its totient is φ = 2101567000.

The previous prime is 2101566967. The next prime is 2101567003. The reversal of 2101567001 is 1007651012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1106227600 + 995339401 = 33260^2 + 31549^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101567001 - 2¹⁸ = 2101304857 is a prime.

Together with 2101567003, 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 (2101567003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050783500 + 1050783501.

It is an arithmetic number, because the mean of its divisors is an integer number (1050783501).

Almost surely, 2^2101567001 is an apocalyptic number.

It is an amenable number.

2101567001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101567001 is an equidigital number, since it uses as much as digits as its factorization.

2101567001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 2101567001 is about 45842.8511438807. The cubic root of 2101567001 is about 1280.8976046573.

The spelling of 2101567001 in words is "two billion, one hundred one million, five hundred sixty-seven thousand, one".