2120100109 has 2 divisors, whose sum is σ = 2120100110. Its totient is φ = 2120100108.

The previous prime is 2120100077. The next prime is 2120100131. The reversal of 2120100109 is 9010010212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1384063209 + 736036900 = 37203^2 + 27130^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120100109 - 2⁵ = 2120100077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120100092 and 2120100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120100139) 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, 1060050054 + 1060050055.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050055).

Almost surely, 2^2120100109 is an apocalyptic number.

It is an amenable number.

2120100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120100109 is an equidigital number, since it uses as much as digits as its factorization.

2120100109 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 16.

The square root of 2120100109 is about 46044.5448343232. The cubic root of 2120100109 is about 1284.6518780217.

The spelling of 2120100109 in words is "two billion, one hundred twenty million, one hundred thousand, one hundred nine".