100111011101001 has 32 divisors (see below), whose sum is σ = 158376089779200. Its totient is φ = 62360585320320.

The previous prime is 100111011100981. The next prime is 100111011101009. The reversal of 100111011101001 is 100101110111001.

It is not a de Polignac number, because 100111011101001 - 2²² = 100111006906697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100111011101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062164396 + ... + 2062212941.

It is an arithmetic number, because the mean of its divisors is an integer number (4949252805600).

Almost surely, 2^{100111011101001} is an apocalyptic number.

It is an amenable number.

100111011101001 is a deficient number, since it is larger than the sum of its proper divisors (58265078678199).

100111011101001 is a wasteful number, since it uses less digits than its factorization.

100111011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124377406 (or 4124377400 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111011101001 its reverse (100101110111001), we get a palindrome (200212121212002).

The spelling of 100111011101001 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred one thousand, one".