2101200137 has 2 divisors, whose sum is σ = 2101200138. Its totient is φ = 2101200136.

The previous prime is 2101200097. The next prime is 2101200149. The reversal of 2101200137 is 7310021012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1913537536 + 187662601 = 43744^2 + 13699^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101200137 - 2¹⁴ = 2101183753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101200197) 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, 1050600068 + 1050600069.

It is an arithmetic number, because the mean of its divisors is an integer number (1050600069).

Almost surely, 2^2101200137 is an apocalyptic number.

It is an amenable number.

2101200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101200137 is an equidigital number, since it uses as much as digits as its factorization.

2101200137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 2101200137 is about 45838.8496474333. The cubic root of 2101200137 is about 1280.8230662192.

Adding to 2101200137 its reverse (7310021012), we get a palindrome (9411221149).

The spelling of 2101200137 in words is "two billion, one hundred one million, two hundred thousand, one hundred thirty-seven".