101000111000111 has 16 divisors (see below), whose sum is σ = 102615217830720. Its totient is φ = 99397115596800.

The previous prime is 101000111000053. The next prime is 101000111000179. The reversal of 101000111000111 is 111000111000101.

It is a cyclic number.

It is not a de Polignac number, because 101000111000111 - 2¹⁰ = 101000110999087 is a prime.

It is a Duffinian number.

101000111000111 is a modest number, since divided by 111000111 gives 101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000111002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446811905 + ... + 447037893.

It is an arithmetic number, because the mean of its divisors is an integer number (6413451114420).

Almost surely, 2^{101000111000111} is an apocalyptic number.

101000111000111 is a deficient number, since it is larger than the sum of its proper divisors (1615106830609).

101000111000111 is a wasteful number, since it uses less digits than its factorization.

101000111000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252754.

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

Adding to 101000111000111 its reverse (111000111000101), we get a palindrome (212000222000212).

It can be divided in two parts, 101000 and 111000111, that added together give a palindrome (111101111).

The spelling of 101000111000111 in words is "one hundred one trillion, one hundred eleven million, one hundred eleven", and thus it is an aban number.