100001011101101 has 8 divisors (see below), whose sum is σ = 109192372760064. Its totient is φ = 90826376217120.

The previous prime is 100001011101091. The next prime is 100001011101107. The reversal of 100001011101101 is 101101110100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001011101101 - 2³⁸ = 99726133194157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4181681240 + ... + 4181705153.

It is an arithmetic number, because the mean of its divisors is an integer number (13649046595008).

Almost surely, 2^{100001011101101} is an apocalyptic number.

100001011101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001011101101 is a deficient number, since it is larger than the sum of its proper divisors (9191361658963).

100001011101101 is a wasteful number, since it uses less digits than its factorization.

100001011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363387491.

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

Adding to 100001011101101 its reverse (101101110100001), we get a palindrome (201102121201102).

It can be divided in two parts, 10000 and 1011101101, that added together give a palindrome (1011111101).

The spelling of 100001011101101 in words is "one hundred trillion, one billion, eleven million, one hundred one thousand, one hundred one".