100110001100111 has 8 divisors (see below), whose sum is σ = 100208076733440. Its totient is φ = 100011928783032.

The previous prime is 100110001100093. The next prime is 100110001100141. The reversal of 100110001100111 is 111001100011001.

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 100110001100111 - 2²⁶ = 100109933991247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001100141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61898006 + ... + 63494748.

It is an arithmetic number, because the mean of its divisors is an integer number (12526009591680).

Almost surely, 2^{100110001100111} is an apocalyptic number.

100110001100111 is a deficient number, since it is larger than the sum of its proper divisors (98075633329).

100110001100111 is a wasteful number, since it uses less digits than its factorization.

100110001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658125.

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

Adding to 100110001100111 its reverse (111001100011001), we get a palindrome (211111101111112).

It can be divided in two parts, 1001100011001 and 11, that multiplied together give a palindrome (11012100121011).

The spelling of 100110001100111 in words is "one hundred trillion, one hundred ten billion, one million, one hundred thousand, one hundred eleven".