100111111101 has 12 divisors (see below), whose sum is σ = 144616083612.
Its totient is φ = 66735596736.
The previous prime is 100111111081. The next prime is 100111111103. The reversal of 100111111101 is 101111111001.
Adding to 100111111101 its reverse (101111111001), we get a palindrome (201222222102).
It can be divided in two parts, 10011 and 1111101, that multiplied together give a palindrome (11123232111).
It can be written as a sum of positive squares in 2 ways, for example, as 60361119225 + 39749991876 = 245685^2 + 199374^2
It is not a de Polignac number, because 100111111101 - 211 = 100111109053 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100111111103) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303486 + ... + 540671.
It is an arithmetic number, because the mean of its divisors is an integer number (12051340301).
Almost surely, 2100111111101 is an apocalyptic number.
It is an amenable number.
100111111101 is a deficient number, since it is larger than the sum of its proper divisors (44504972511).
100111111101 is a wasteful number, since it uses less digits than its factorization.
100111111101 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 857340 (or 857337 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
The spelling of 100111111101 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred one".