100110001000111 has 8 divisors (see below), whose sum is σ = 100717150270464. Its totient is φ = 99502943256120.

The previous prime is 100110001000081. The next prime is 100110001000133. The reversal of 100110001000111 is 111000100011001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110001000111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110001000094 and 100110001000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001000211) 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, 20686755 + ... + 25063156.

It is an arithmetic number, because the mean of its divisors is an integer number (12589643783808).

Almost surely, 2^{100110001000111} is an apocalyptic number.

100110001000111 is a deficient number, since it is larger than the sum of its proper divisors (607149270353).

100110001000111 is a wasteful number, since it uses less digits than its factorization.

100110001000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45763181.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110001000111 its reverse (111000100011001), we get a palindrome (211110101011112).

The spelling of 100110001000111 in words is "one hundred trillion, one hundred ten billion, one million, one hundred eleven", and thus it is an aban number.