2101001109997 has 2 divisors, whose sum is σ = 2101001109998. Its totient is φ = 2101001109996.

The previous prime is 2101001109989. The next prime is 2101001110007. The reversal of 2101001109997 is 7999011001012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1135565165641 + 965435944356 = 1065629^2 + 982566^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101001109997 - 2³ = 2101001109989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101001109917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500554998 + 1050500554999.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500554999).

Almost surely, 2^{2101001109997} is an apocalyptic number.

It is an amenable number.

2101001109997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101001109997 is an equidigital number, since it uses as much as digits as its factorization.

2101001109997 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 40.

The spelling of 2101001109997 in words is "two trillion, one hundred one billion, one million, one hundred nine thousand, nine hundred ninety-seven".