2124129961 has 2 divisors, whose sum is σ = 2124129962. Its totient is φ = 2124129960.

The previous prime is 2124129937. The next prime is 2124130007. The reversal of 2124129961 is 1699214212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1894425625 + 229704336 = 43525^2 + 15156^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124129961 - 2¹⁵ = 2124097193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2124129961.

It is not a weakly prime, because it can be changed into another prime (2124129901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062064980 + 1062064981.

It is an arithmetic number, because the mean of its divisors is an integer number (1062064981).

Almost surely, 2^2124129961 is an apocalyptic number.

It is an amenable number.

2124129961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124129961 is an equidigital number, since it uses as much as digits as its factorization.

2124129961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 37.

The square root of 2124129961 is about 46088.2844223996. The cubic root of 2124129961 is about 1285.4653113568.

The spelling of 2124129961 in words is "two billion, one hundred twenty-four million, one hundred twenty-nine thousand, nine hundred sixty-one".