100135122309043 has 2 divisors, whose sum is σ = 100135122309044. Its totient is φ = 100135122309042.

The previous prime is 100135122309031. The next prime is 100135122309077. The reversal of 100135122309043 is 340903221531001.

It is an a-pointer prime, because the next prime (100135122309077) can be obtained adding 100135122309043 to its sum of digits (34).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100135122309043 - 2⁴¹ = 97936099053491 is a prime.

It is a super-2 number, since 2×100135122309043² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100135122709043) 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, 50067561154521 + 50067561154522.

It is an arithmetic number, because the mean of its divisors is an integer number (50067561154522).

Almost surely, 2^{100135122309043} is an apocalyptic number.

100135122309043 is a deficient number, since it is larger than the sum of its proper divisors (1).

100135122309043 is an equidigital number, since it uses as much as digits as its factorization.

100135122309043 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 100135122309043 in words is "one hundred trillion, one hundred thirty-five billion, one hundred twenty-two million, three hundred nine thousand, forty-three".