100100001010011 has 128 divisors (see below), whose sum is σ = 149590182758400. Its totient is φ = 59308062105600.

The previous prime is 100100001010001. The next prime is 100100001010063. The reversal of 100100001010011 is 110010100001001.

It is not a de Polignac number, because 100100001010011 - 2²⁷ = 100099866792283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100001010001) 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 in 127 ways as a sum of consecutive naturals, for example, 7545030000 + ... + 7545043266.

It is an arithmetic number, because the mean of its divisors is an integer number (1168673302800).

Almost surely, 2^{100100001010011} is an apocalyptic number.

100100001010011 is a deficient number, since it is larger than the sum of its proper divisors (49490181748389).

100100001010011 is a wasteful number, since it uses less digits than its factorization.

100100001010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14469.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001010011 its reverse (110010100001001), we get a palindrome (210110101011012).

The spelling of 100100001010011 in words is "one hundred trillion, one hundred billion, one million, ten thousand, eleven".