101100111000110 has 32 divisors (see below), whose sum is σ = 191558809872000. Its totient is φ = 38311480046880.

The previous prime is 101100111000029. The next prime is 101100111000191. The reversal of 101100111000110 is 11000111001101.

It is an interprime number because it is at equal distance from previous prime (101100111000029) and next prime (101100111000191).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61142945 + ... + 62774675.

It is an arithmetic number, because the mean of its divisors is an integer number (5986212808500).

Almost surely, 2^{101100111000110} is an apocalyptic number.

101100111000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100111000110 is a deficient number, since it is larger than the sum of its proper divisors (90458698871890).

101100111000110 is a wasteful number, since it uses less digits than its factorization.

101100111000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957856.

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

Adding to 101100111000110 its reverse (11000111001101), we get a palindrome (112100222001211).

Subtracting from 101100111000110 its reverse (11000111001101), we obtain a palindrome (90099999999009).

The spelling of 101100111000110 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred ten", and thus it is an aban number.