101101000110110 has 64 divisors (see below), whose sum is σ = 244339200290304. Its totient is φ = 29088000028800.

The previous prime is 101101000110013. The next prime is 101101000110113. The reversal of 101101000110110 is 11011000101101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000110113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049989996 + ... + 5050010015.

It is an arithmetic number, because the mean of its divisors is an integer number (3817800004536).

Almost surely, 2^{101101000110110} is an apocalyptic number.

101101000110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101000110110 is an abundant number, since it is smaller than the sum of its proper divisors (143238200180194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101000110110 is a wasteful number, since it uses less digits than its factorization.

101101000110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100000049.

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

Adding to 101101000110110 its reverse (11011000101101), we get a palindrome (112112000211211).

Subtracting from 101101000110110 its reverse (11011000101101), we obtain a palindrome (90090000009009).

The spelling of 101101000110110 in words is "one hundred one trillion, one hundred one billion, one hundred ten thousand, one hundred ten".