101110001000111 has 8 divisors (see below), whose sum is σ = 101855426108400. Its totient is φ = 100365467018752.

The previous prime is 101110001000087. The next prime is 101110001000117. The reversal of 101110001000111 is 111000100011101.

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-101110001000111 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 (101110001000117) 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, 222553970 + ... + 223007823.

It is an arithmetic number, because the mean of its divisors is an integer number (12731928263550).

Almost surely, 2^{101110001000111} is an apocalyptic number.

101110001000111 is a deficient number, since it is larger than the sum of its proper divisors (745425108289).

101110001000111 is a wasteful number, since it uses less digits than its factorization.

101110001000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445563465.

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

Adding to 101110001000111 its reverse (111000100011101), we get a palindrome (212110101011212).

It can be divided in two parts, 10111000 and 1000111, that added together give a palindrome (11111111).

The spelling of 101110001000111 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred eleven", and thus it is an aban number.