2000101993 has 2 divisors, whose sum is σ = 2000101994. Its totient is φ = 2000101992.

The previous prime is 2000101991. The next prime is 2000102017. The reversal of 2000101993 is 3991010002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1970649664 + 29452329 = 44392^2 + 5427^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000101993 - 2¹ = 2000101991 is a prime.

Together with 2000101991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2000101991) 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, 1000050996 + 1000050997.

It is an arithmetic number, because the mean of its divisors is an integer number (1000050997).

Almost surely, 2^2000101993 is an apocalyptic number.

It is an amenable number.

2000101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000101993 is an equidigital number, since it uses as much as digits as its factorization.

2000101993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 2000101993 is about 44722.4998518643. The cubic root of 2000101993 is about 1259.9424667188.

Adding to 2000101993 its reverse (3991010002), we get a palindrome (5991111995).

The spelling of 2000101993 in words is "two billion, one hundred one thousand, nine hundred ninety-three".