100135122304001 has 2 divisors, whose sum is σ = 100135122304002. Its totient is φ = 100135122304000.

The previous prime is 100135122303967. The next prime is 100135122304081. The reversal of 100135122304001 is 100403221531001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100103546790976 + 31575513025 = 10005176^2 + 177695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100135122304001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100135122304081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50067561152000 + 50067561152001.

It is an arithmetic number, because the mean of its divisors is an integer number (50067561152001).

Almost surely, 2^{100135122304001} is an apocalyptic number.

It is an amenable number.

100135122304001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100135122304001 is an equidigital number, since it uses as much as digits as its factorization.

100135122304001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 100135122304001 its reverse (100403221531001), we get a palindrome (200538343835002).

The spelling of 100135122304001 in words is "one hundred trillion, one hundred thirty-five billion, one hundred twenty-two million, three hundred four thousand, one".