2001255101 has 2 divisors, whose sum is σ = 2001255102. Its totient is φ = 2001255100.

The previous prime is 2001255077. The next prime is 2001255103. The reversal of 2001255101 is 1015521002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1222900900 + 778354201 = 34970^2 + 27899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001255101 - 2¹⁰ = 2001254077 is a prime.

Together with 2001255103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001255101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001255103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000627550 + 1000627551.

It is an arithmetic number, because the mean of its divisors is an integer number (1000627551).

Almost surely, 2^2001255101 is an apocalyptic number.

It is an amenable number.

2001255101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001255101 is an equidigital number, since it uses as much as digits as its factorization.

2001255101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 2001255101 is about 44735.3898049408. The cubic root of 2001255101 is about 1260.1845494777.

Adding to 2001255101 its reverse (1015521002), we get a palindrome (3016776103).

The spelling of 2001255101 in words is "two billion, one million, two hundred fifty-five thousand, one hundred one".