2100109997 has 2 divisors, whose sum is σ = 2100109998. Its totient is φ = 2100109996.

The previous prime is 2100109993. The next prime is 2100110039. The reversal of 2100109997 is 7999010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1488339241 + 611770756 = 38579^2 + 24734^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100109997 - 2² = 2100109993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100109997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100109993) 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, 1050054998 + 1050054999.

It is an arithmetic number, because the mean of its divisors is an integer number (1050054999).

Almost surely, 2^2100109997 is an apocalyptic number.

It is an amenable number.

2100109997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100109997 is an equidigital number, since it uses as much as digits as its factorization.

2100109997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 38.

The square root of 2100109997 is about 45826.9570995064. The cubic root of 2100109997 is about 1280.6015233061.

The spelling of 2100109997 in words is "two billion, one hundred million, one hundred nine thousand, nine hundred ninety-seven".