100100011101001 has 16 divisors (see below), whose sum is σ = 104108308530688. Its totient is φ = 96168133353600.

The previous prime is 100100011100977. The next prime is 100100011101007. The reversal of 100100011101001 is 100101110001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100011101001 - 2²⁷ = 100099876883273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100011101007) 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, 289487725 + ... + 289833301.

It is an arithmetic number, because the mean of its divisors is an integer number (6506769283168).

Almost surely, 2^{100100011101001} is an apocalyptic number.

It is an amenable number.

100100011101001 is a deficient number, since it is larger than the sum of its proper divisors (4008297429687).

100100011101001 is a wasteful number, since it uses less digits than its factorization.

100100011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456112.

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

Adding to 100100011101001 its reverse (100101110001001), we get a palindrome (200201121102002).

The spelling of 100100011101001 in words is "one hundred trillion, one hundred billion, eleven million, one hundred one thousand, one".