2100100109 has 2 divisors, whose sum is σ = 2100100110. Its totient is φ = 2100100108.

The previous prime is 2100100097. The next prime is 2100100127. The reversal of 2100100109 is 9010010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1444228009 + 655872100 = 38003^2 + 25610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100100109 - 2²⁰ = 2099051533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100100093 and 2100100102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050054 + 1050050055.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050055).

Almost surely, 2^2100100109 is an apocalyptic number.

It is an amenable number.

2100100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100100109 is an equidigital number, since it uses as much as digits as its factorization.

2100100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 2100100109 is about 45826.8492152799. The cubic root of 2100100109 is about 1280.5995134736.

The spelling of 2100100109 in words is "two billion, one hundred million, one hundred thousand, one hundred nine".