100111010100001 has 16 divisors (see below), whose sum is σ = 105700447411200. Its totient is φ = 94553627691600.

The previous prime is 100111010099981. The next prime is 100111010100043. The reversal of 100111010100001 is 100001010111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111010100001 - 2²³ = 100111001711393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111010100091) 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, 405133356 + ... + 405380386.

It is an arithmetic number, because the mean of its divisors is an integer number (6606277963200).

Almost surely, 2^{100111010100001} is an apocalyptic number.

It is an amenable number.

100111010100001 is a deficient number, since it is larger than the sum of its proper divisors (5589437311199).

100111010100001 is a wasteful number, since it uses less digits than its factorization.

100111010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311820.

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

Adding to 100111010100001 its reverse (100001010111001), we get a palindrome (200112020211002).

The spelling of 100111010100001 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred thousand, one".