2075010101 has 2 divisors, whose sum is σ = 2075010102. Its totient is φ = 2075010100.

The previous prime is 2075010031. The next prime is 2075010103. The reversal of 2075010101 is 1010105702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1649578225 + 425431876 = 40615^2 + 20626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2075010101 - 2³⁰ = 1001268277 is a prime.

Together with 2075010103, it forms a pair of twin primes.

It is a Chen prime.

2075010101 is a modest number, since divided by 10101 gives 2075 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2075010101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2075010103) 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, 1037505050 + 1037505051.

It is an arithmetic number, because the mean of its divisors is an integer number (1037505051).

Almost surely, 2^2075010101 is an apocalyptic number.

It is an amenable number.

2075010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2075010101 is an equidigital number, since it uses as much as digits as its factorization.

2075010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 2075010101 is about 45552.2787684656. The cubic root of 2075010101 is about 1275.4792715177.

Adding to 2075010101 its reverse (1010105702), we get a palindrome (3085115803).

The spelling of 2075010101 in words is "two billion, seventy-five million, ten thousand, one hundred one".