101110000100001 has 16 divisors (see below), whose sum is σ = 136154816590080. Its totient is φ = 66735990835200.

The previous prime is 101110000099991. The next prime is 101110000100003. The reversal of 101110000100001 is 100001000011101.

It is not a de Polignac number, because 101110000100001 - 2²⁵ = 101109966545569 is a prime.

101110000100001 is a modest number, since divided by 100001 gives 10111 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101110000100003) 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, 2030761 + ... + 14364678.

It is an arithmetic number, because the mean of its divisors is an integer number (8509676036880).

Almost surely, 2^{101110000100001} is an apocalyptic number.

It is an amenable number.

101110000100001 is a deficient number, since it is larger than the sum of its proper divisors (35044816490079).

101110000100001 is a wasteful number, since it uses less digits than its factorization.

101110000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16415896.

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

Adding to 101110000100001 its reverse (100001000011101), we get a palindrome (201111000111102).

The spelling of 101110000100001 in words is "one hundred one trillion, one hundred ten billion, one hundred thousand, one".