2124123101 has 2 divisors, whose sum is σ = 2124123102. Its totient is φ = 2124123100.

The previous prime is 2124123097. The next prime is 2124123103. The reversal of 2124123101 is 1013214212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2102314201 + 21808900 = 45851^2 + 4670^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124123101 - 2² = 2124123097 is a prime.

It is a Sophie Germain prime.

Together with 2124123103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2124123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124123103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062061550 + 1062061551.

It is an arithmetic number, because the mean of its divisors is an integer number (1062061551).

Almost surely, 2^2124123101 is an apocalyptic number.

It is an amenable number.

2124123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124123101 is an equidigital number, since it uses as much as digits as its factorization.

2124123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2124123101 is about 46088.2099999555. The cubic root of 2124123101 is about 1285.4639275272.

Adding to 2124123101 its reverse (1013214212), we get a palindrome (3137337313).

The spelling of 2124123101 in words is "two billion, one hundred twenty-four million, one hundred twenty-three thousand, one hundred one".