2124313220101 has 2 divisors, whose sum is σ = 2124313220102. Its totient is φ = 2124313220100.

The previous prime is 2124313220063. The next prime is 2124313220129. The reversal of 2124313220101 is 1010223134212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2008866849025 + 115446371076 = 1417345^2 + 339774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124313220101 - 2²¹ = 2124311122949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124313220131) 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, 1062156610050 + 1062156610051.

It is an arithmetic number, because the mean of its divisors is an integer number (1062156610051).

Almost surely, 2^{2124313220101} is an apocalyptic number.

It is an amenable number.

2124313220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124313220101 is an equidigital number, since it uses as much as digits as its factorization.

2124313220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2124313220101 its reverse (1010223134212), we get a palindrome (3134536354313).

The spelling of 2124313220101 in words is "two trillion, one hundred twenty-four billion, three hundred thirteen million, two hundred twenty thousand, one hundred one".