2120424535129 has 2 divisors, whose sum is σ = 2120424535130. Its totient is φ = 2120424535128.

The previous prime is 2120424535091. The next prime is 2120424535183. The reversal of 2120424535129 is 9215354240212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1298277936400 + 822146598729 = 1139420^2 + 906723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120424535129 - 2¹³ = 2120424526937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120424535091 and 2120424535100.

It is not a weakly prime, because it can be changed into another prime (2120424835129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060212267564 + 1060212267565.

It is an arithmetic number, because the mean of its divisors is an integer number (1060212267565).

Almost surely, 2^{2120424535129} is an apocalyptic number.

It is an amenable number.

2120424535129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120424535129 is an equidigital number, since it uses as much as digits as its factorization.

2120424535129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2120424535129 in words is "two trillion, one hundred twenty billion, four hundred twenty-four million, five hundred thirty-five thousand, one hundred twenty-nine".