2101001020109 has 2 divisors, whose sum is σ = 2101001020110. Its totient is φ = 2101001020108.

The previous prime is 2101001020087. The next prime is 2101001020133. The reversal of 2101001020109 is 9010201001012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2011070006884 + 89931013225 = 1418122^2 + 299885^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101001020109 - 2²⁰ = 2100999971533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101001020169) 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, 1050500510054 + 1050500510055.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500510055).

Almost surely, 2^{2101001020109} is an apocalyptic number.

It is an amenable number.

2101001020109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101001020109 is an equidigital number, since it uses as much as digits as its factorization.

2101001020109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 2101001020109 in words is "two trillion, one hundred one billion, one million, twenty thousand, one hundred nine".