2124124414001 has 2 divisors, whose sum is σ = 2124124414002. Its totient is φ = 2124124414000.

The previous prime is 2124124413989. The next prime is 2124124414003. The reversal of 2124124414001 is 1004144214212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2073139225600 + 50985188401 = 1439840^2 + 225799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124124414001 - 2⁶ = 2124124413937 is a prime.

Together with 2124124414003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2124124414003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062062207000 + 1062062207001.

It is an arithmetic number, because the mean of its divisors is an integer number (1062062207001).

Almost surely, 2^{2124124414001} is an apocalyptic number.

It is an amenable number.

2124124414001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124124414001 is an equidigital number, since it uses as much as digits as its factorization.

2124124414001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 2124124414001 its reverse (1004144214212), we get a palindrome (3128268628213).

The spelling of 2124124414001 in words is "two trillion, one hundred twenty-four billion, one hundred twenty-four million, four hundred fourteen thousand, one".