100001000110101 has 16 divisors (see below), whose sum is σ = 136147747016064. Its totient is φ = 65274125439744.

The previous prime is 100001000110097. The next prime is 100001000110117. The reversal of 100001000110101 is 101011000100001.

It is not a de Polignac number, because 100001000110101 - 2² = 100001000110097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000110171) 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, 1666486681 + ... + 1666546686.

It is an arithmetic number, because the mean of its divisors is an integer number (8509234188504).

Almost surely, 2^{100001000110101} is an apocalyptic number.

It is an amenable number.

100001000110101 is a deficient number, since it is larger than the sum of its proper divisors (36146746905963).

100001000110101 is a wasteful number, since it uses less digits than its factorization.

100001000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333033580.

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

Adding to 100001000110101 its reverse (101011000100001), we get a palindrome (201012000210102).

The spelling of 100001000110101 in words is "one hundred trillion, one billion, one hundred ten thousand, one hundred one".