100135122304011 has 16 divisors (see below), whose sum is σ = 134875091260416. Its totient is φ = 66076579115136.

The previous prime is 100135122304001. The next prime is 100135122304081. The reversal of 100135122304011 is 110403221531001.

It is not a de Polignac number, because 100135122304011 - 2⁷ = 100135122303883 is a prime.

It is a super-2 number, since 2×100135122304011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100135122304001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77903950 + ... + 79178883.

It is an arithmetic number, because the mean of its divisors is an integer number (8429693203776).

Almost surely, 2^{100135122304011} is an apocalyptic number.

100135122304011 is a deficient number, since it is larger than the sum of its proper divisors (34739968956405).

100135122304011 is a wasteful number, since it uses less digits than its factorization.

100135122304011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157085002.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 100135122304011 its reverse (110403221531001), we get a palindrome (210538343835012).

The spelling of 100135122304011 in words is "one hundred trillion, one hundred thirty-five billion, one hundred twenty-two million, three hundred four thousand, eleven".