2135007240001 has 2 divisors, whose sum is σ = 2135007240002. Its totient is φ = 2135007240000.

The previous prime is 2135007239971. The next prime is 2135007240011. The reversal of 2135007240001 is 1000427005312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1628239800625 + 506767439376 = 1276025^2 + 711876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135007240001 - 2⁵ = 2135007239969 is a prime.

It is a super-2 number, since 2×2135007240001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2135007240011) 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, 1067503620000 + 1067503620001.

It is an arithmetic number, because the mean of its divisors is an integer number (1067503620001).

Almost surely, 2^{2135007240001} is an apocalyptic number.

It is an amenable number.

2135007240001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135007240001 is an equidigital number, since it uses as much as digits as its factorization.

2135007240001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The spelling of 2135007240001 in words is "two trillion, one hundred thirty-five billion, seven million, two hundred forty thousand, one".