1001100100111 has 16 divisors (see below), whose sum is σ = 1102420253088.
Its totient is φ = 905213030400.
The previous prime is 1001100100097. The next prime is 1001100100123. The reversal of 1001100100111 is 1110010011001.
Adding to 1001100100111 its reverse (1110010011001), we get a palindrome (2111110111112).
It is a happy number.
It is a cyclic number.
It is not a de Polignac number, because 1001100100111 - 221 = 1001098002959 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 1001100100094 and 1001100100103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001100100141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11180770 + ... + 11269951.
It is an arithmetic number, because the mean of its divisors is an integer number (68901265818).
Almost surely, 21001100100111 is an apocalyptic number.
1001100100111 is a deficient number, since it is larger than the sum of its proper divisors (101320152977).
1001100100111 is a wasteful number, since it uses less digits than its factorization.
1001100100111 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22450842.
The product of its (nonzero) digits is 1, while the sum is 7.
The spelling of 1001100100111 in words is "one trillion, one billion, one hundred million, one hundred thousand, one hundred eleven".