100001111101101 has 24 divisors (see below), whose sum is σ = 165081492043520. Its totient is φ = 57143390715936.

The previous prime is 100001111101069. The next prime is 100001111101109. The reversal of 100001111101101 is 101101111100001.

It is not a de Polignac number, because 100001111101101 - 2⁵ = 100001111101069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48121395 + ... + 50156463.

Almost surely, 2^{100001111101101} is an apocalyptic number.

It is an amenable number.

100001111101101 is a deficient number, since it is larger than the sum of its proper divisors (65080380942419).

100001111101101 is a wasteful number, since it uses less digits than its factorization.

100001111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815065 (or 2815062 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100001111101101 its reverse (101101111100001), we get a palindrome (201102222201102).

The spelling of 100001111101101 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred one".