2100774130109 has 2 divisors, whose sum is σ = 2100774130110. Its totient is φ = 2100774130108.

The previous prime is 2100774130027. The next prime is 2100774130171. The reversal of 2100774130109 is 9010314770012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1651217290009 + 449556840100 = 1284997^2 + 670490^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100774130109 - 2²⁴ = 2100757352893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100764130109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050387065054 + 1050387065055.

It is an arithmetic number, because the mean of its divisors is an integer number (1050387065055).

Almost surely, 2^{2100774130109} is an apocalyptic number.

It is an amenable number.

2100774130109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100774130109 is an equidigital number, since it uses as much as digits as its factorization.

2100774130109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 2100774130109 in words is "two trillion, one hundred billion, seven hundred seventy-four million, one hundred thirty thousand, one hundred nine".