100101011110001 has 16 divisors (see below), whose sum is σ = 110288797544448. Its totient is φ = 90094613232000.

The previous prime is 100101011109977. The next prime is 100101011110003. The reversal of 100101011110001 is 100011110101001.

It is a cyclic number.

It is not a de Polignac number, because 100101011110001 - 2¹⁰ = 100101011108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101011110003) 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 15 ways as a sum of consecutive naturals, for example, 16278800 + ... + 21568526.

It is an arithmetic number, because the mean of its divisors is an integer number (6893049846528).

Almost surely, 2^{100101011110001} is an apocalyptic number.

100101011110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101011110001 is a deficient number, since it is larger than the sum of its proper divisors (10187786434447).

100101011110001 is a wasteful number, since it uses less digits than its factorization.

100101011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306872.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101011110001 its reverse (100011110101001), we get a palindrome (200112121211002).

It can be divided in two parts, 100 and 101011110001, that added together give a palindrome (101011110101).

The spelling of 100101011110001 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred ten thousand, one".