101110100000111 has 8 divisors (see below), whose sum is σ = 108117730695024. Its totient is φ = 94220244611200.

The previous prime is 101110100000101. The next prime is 101110100000137. The reversal of 101110100000111 is 111000001011101.

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 101110100000111 - 2¹⁰ = 101110099999087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110100000101) 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, 29443824725 + ... + 29443828158.

It is an arithmetic number, because the mean of its divisors is an integer number (13514716336878).

Almost surely, 2^{101110100000111} is an apocalyptic number.

101110100000111 is a deficient number, since it is larger than the sum of its proper divisors (7007630694913).

101110100000111 is a wasteful number, since it uses less digits than its factorization.

101110100000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58887653001.

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

Adding to 101110100000111 its reverse (111000001011101), we get a palindrome (212110101011212).

The spelling of 101110100000111 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred eleven", and thus it is an aban number.