100001101001011 has 24 divisors (see below), whose sum is σ = 117393516940896. Its totient is φ = 84932285719680.

The previous prime is 100001101000979. The next prime is 100001101001017. The reversal of 100001101001011 is 110100101100001.

It is a happy number.

It is not a de Polignac number, because 100001101001011 - 2⁵ = 100001101000979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100001101000985 and 100001101001003.

It is not an unprimeable number, because it can be changed into a prime (100001101001017) 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 in 23 ways as a sum of consecutive naturals, for example, 10135951 + ... + 17399416.

It is an arithmetic number, because the mean of its divisors is an integer number (4891396539204).

Almost surely, 2^{100001101001011} is an apocalyptic number.

100001101001011 is a deficient number, since it is larger than the sum of its proper divisors (17392415939885).

100001101001011 is a wasteful number, since it uses less digits than its factorization.

100001101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27536059 (or 27536052 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100001101001011 its reverse (110100101100001), we get a palindrome (210101202101012).

The spelling of 100001101001011 in words is "one hundred trillion, one billion, one hundred one million, one thousand, eleven".