2100123929 has 2 divisors, whose sum is σ = 2100123930. Its totient is φ = 2100123928.

The previous prime is 2100123899. The next prime is 2100123931. The reversal of 2100123929 is 9293210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2100113929 + 10000 = 45827^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100123929 - 2⁸ = 2100123673 is a prime.

It is a Sophie Germain prime.

Together with 2100123931, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2100123229) 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, 1050061964 + 1050061965.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061965).

Almost surely, 2^2100123929 is an apocalyptic number.

It is an amenable number.

2100123929 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100123929 is an equidigital number, since it uses as much as digits as its factorization.

2100123929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 2100123929 is about 45827.1091058557. The cubic root of 2100123929 is about 1280.6043551103.

The spelling of 2100123929 in words is "two billion, one hundred million, one hundred twenty-three thousand, nine hundred twenty-nine".